q25 results
Laura Menicacci
2023-03-30
Updates
AR0
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Thu Mar 30 14:06:43 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 0.4083008 1.0988219 0.3716 0.7102874
lpop 0.1228244 0.4683003 0.2623 0.7931644
lgdp_sq -0.0025070 0.0469877 -0.0534 0.9574611
avg_temp 0.0068327 0.0138781 0.4923 0.6225921
idAlaska 0.1539210 0.9159737 0.1680 0.8665867
idArizona 1.8382916 0.1616847 11.3696 < 2.2e-16 ***
idArkansas -0.7168372 0.2424386 -2.9568 0.0031851 **
idCalifornia 3.2209333 0.8451921 3.8109 0.0001473 ***
idColorado 2.2892983 0.2814646 8.1335 1.286e-15 ***
idConnecticut 3.0186267 0.3035117 9.9457 < 2.2e-16 ***
idDelaware 2.4677290 0.6843453 3.6060 0.0003271 ***
idDistrictofColumbia 0.7209092 0.9029629 0.7984 0.4248470
idFlorida 1.6797514 0.5509056 3.0491 0.0023586 **
idGeorgia 1.3623506 0.2966739 4.5921 4.974e-06 ***
idHawaii -0.5375363 0.6553705 -0.8202 0.4123051
idIdaho 0.9916685 0.5205387 1.9051 0.0570690 .
idIllinois 1.9602000 0.4422827 4.4320 1.042e-05 ***
idIndiana 1.1123096 0.2309947 4.8153 1.708e-06 ***
idIowa 0.5298050 0.2966688 1.7858 0.0744406 .
idKansas 0.2676003 0.2590662 1.0329 0.3018922
idKentucky 0.3155498 0.1558208 2.0251 0.0431362 *
idLouisiana 0.1647656 0.1689486 0.9752 0.3296873
idMaine 0.4117538 0.5864095 0.7022 0.4827496
idMaryland 1.4447747 0.2005713 7.2033 1.190e-12 ***
idMassachusetts 2.9174353 0.3024931 9.6446 < 2.2e-16 ***
idMichigan 2.3834103 0.4014407 5.9371 4.053e-09 ***
idMinnesota 2.1991567 0.3389058 6.4890 1.384e-10 ***
idMississippi 0.4722006 0.2609270 1.8097 0.0706553 .
idMissouri 0.8799695 0.1879656 4.6815 3.258e-06 ***
idMontana 0.3083292 0.6827426 0.4516 0.6516567
idNebraska -0.1643843 0.4368491 -0.3763 0.7067808
idNevada 1.4762358 0.3362792 4.3899 1.260e-05 ***
idNewHampshire 1.8174434 0.5737393 3.1677 0.0015851 **
idNewJersey 1.9694370 0.3208803 6.1376 1.225e-09 ***
idNewMexico 1.7177252 0.3667735 4.6833 3.230e-06 ***
idNewYork 2.6626958 0.6465340 4.1184 4.145e-05 ***
idNorthCarolina 1.9764854 0.2944006 6.7136 3.250e-11 ***
idNorthDakota 0.0750847 0.8208691 0.0915 0.9271385
idOhio 2.2808536 0.4021139 5.6722 1.867e-08 ***
idOklahoma 0.7611425 0.1541392 4.9380 9.309e-07 ***
idOregon 2.5699610 0.3076473 8.3536 2.308e-16 ***
idPennsylvania 2.2792968 0.4482964 5.0844 4.437e-07 ***
idRhodeIsland 1.9239293 0.6117648 3.1449 0.0017128 **
idSouthCarolina 1.4289628 0.1549909 9.2197 < 2.2e-16 ***
idSouthDakota -0.1192652 0.7452814 -0.1600 0.8728935
idTennessee 0.3713279 0.2262445 1.6413 0.1010704
idTexas 1.9897210 0.6710861 2.9649 0.0031027 **
idUtah 1.2440041 0.3112346 3.9970 6.908e-05 ***
idVermont 1.0331895 0.8500050 1.2155 0.2244714
idVirginia 1.6074055 0.2678702 6.0007 2.785e-09 ***
idWashington 2.0257263 0.3097028 6.5409 9.944e-11 ***
idWestVirginia 0.0530469 0.4050056 0.1310 0.8958200
idWisconsin 1.9586318 0.3080220 6.3587 3.145e-10 ***
idWyoming 1.3722310 0.9389396 1.4615 0.1442151
time2000 -5.0285864 7.6219351 -0.6598 0.5095718
time2001 -4.9954705 7.6254015 -0.6551 0.5125549
time2002 -4.8482729 7.6269593 -0.6357 0.5251398
time2003 -4.7417790 7.6255011 -0.6218 0.5342006
time2004 -4.7608741 7.6272121 -0.6242 0.5326477
time2005 -4.5013649 7.6296969 -0.5900 0.5553437
time2006 -4.3788968 7.6336994 -0.5736 0.5663550
time2007 -4.1804410 7.6326410 -0.5477 0.5840217
time2008 -4.1300235 7.6306223 -0.5412 0.5884658
time2009 -3.8883662 7.6334463 -0.5094 0.6105995
time2010 -3.9579112 7.6369185 -0.5183 0.6043965
time2011 -3.9668617 7.6381702 -0.5193 0.6036388
time2012 -4.0186183 7.6430250 -0.5258 0.5991566
time2013 -4.0807389 7.6362487 -0.5344 0.5931955
time2014 -4.3547357 7.6353652 -0.5703 0.5685826
time2015 -4.3362478 7.6404379 -0.5675 0.5704810
time2016 -4.4248847 7.6428718 -0.5790 0.5627553
time2017 -4.4929644 7.6414055 -0.5880 0.5566870
time2018 -4.4565210 7.6386649 -0.5834 0.5597506
time2019 -4.6152741 7.6369112 -0.6043 0.5457623
time2020 -5.5564505 7.6437372 -0.7269 0.4674475
iis65 1.9123133 0.3908942 4.8922 1.170e-06 ***
iis76 1.1768405 0.3849653 3.0570 0.0022977 **
iis168 -1.2116125 0.3984430 -3.0409 0.0024232 **
iis173 -1.2857973 0.3940167 -3.2633 0.0011402 **
iis247 -1.4694958 0.3883394 -3.7841 0.0001639 ***
iis249 -1.3236139 0.3885699 -3.4064 0.0006857 ***
iis250 -1.6153426 0.3886732 -4.1560 3.528e-05 ***
iis364 -1.4553471 0.3777448 -3.8527 0.0001246 ***
iis525 1.5290323 0.3807494 4.0158 6.387e-05 ***
iis527 -1.3793819 0.3781501 -3.6477 0.0002789 ***
iis576 -1.0505561 0.3851600 -2.7276 0.0064968 **
iis721 1.1903262 0.3830399 3.1076 0.0019419 **
iis866 1.7434342 0.3939148 4.4259 1.071e-05 ***
fesisAlaska.2007 -1.2192158 0.2010459 -6.0644 1.905e-09 ***
fesisAlaska.2014 0.7904637 0.2040454 3.8740 0.0001144 ***
fesisArkansas.2009 0.6482180 0.1723901 3.7602 0.0001801 ***
fesisConnecticut.2009 -0.5982914 0.1656534 -3.6117 0.0003200 ***
fesisDelaware.2014 -0.8178532 0.1849953 -4.4209 1.095e-05 ***
fesisDistrictofColumbia.2008 -1.2154298 0.2553178 -4.7605 2.230e-06 ***
fesisDistrictofColumbia.2011 1.4669191 0.2464042 5.9533 3.685e-09 ***
fesisHawaii.2001 1.3728067 0.3909467 3.5115 0.0004664 ***
fesisHawaii.2009 -0.4830059 0.1802577 -2.6795 0.0074991 **
fesisLouisiana.2011 -0.8326289 0.2163531 -3.8485 0.0001267 ***
fesisLouisiana.2015 1.0753087 0.2390419 4.4984 7.687e-06 ***
fesisMaine.2008 0.6999229 0.1688994 4.1440 3.715e-05 ***
fesisMississippi.2004 -1.3986445 0.2076588 -6.7353 2.819e-11 ***
fesisNebraska.2012 0.7383887 0.1675422 4.4072 1.166e-05 ***
fesisNevada.2012 -0.7433067 0.1854884 -4.0073 6.619e-05 ***
fesisNevada.2019 1.0401965 0.2964697 3.5086 0.0004714 ***
fesisOregon.2004 -0.7595870 0.2055449 -3.6955 0.0002319 ***
fesisRhodeIsland.2005 -0.8176507 0.1931060 -4.2342 2.515e-05 ***
fesisSouthCarolina.2008 0.8138095 0.1688143 4.8207 1.663e-06 ***
fesisSouthDakota.2008 1.2229023 0.1839370 6.6485 4.969e-11 ***
fesisSouthDakota.2019 -1.2583965 0.2845261 -4.4228 1.086e-05 ***
fesisTennessee.2005 0.6105224 0.1895153 3.2215 0.0013183 **
fesisWestVirginia.2013 -0.5877609 0.1692226 -3.4733 0.0005371 ***
fesisWyoming.2003 -0.8272521 0.2389653 -3.4618 0.0005603 ***
fesisWyoming.2017 -0.9102405 0.2377471 -3.8286 0.0001372 ***
fesisWyoming.2020 1.9366798 0.4256536 4.5499 6.057e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 3.1879 1 0.07419 .
Ljung-Box ARCH(1) 3.5869 1 0.05824 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.36470
R-squared 0.94193
Log-lik.(n=1071) -382.39447 us_q25
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.01; AR: 0
Date: Thu Mar 30 14:06:18 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 903
Sample: 1 to 903
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 0.519404 1.446762 0.3590 0.7196818
lpop 0.400976 0.439162 0.9130 0.3614936
lgdp_sq -0.012287 0.054577 -0.2251 0.8219414
avg_temp 0.022908 0.013607 1.6835 0.0926630 .
idArizona 1.612787 0.151260 10.6623 < 2.2e-16 ***
idCalifornia 2.853048 0.752354 3.7922 0.0001606 ***
idColorado 2.371252 0.279825 8.4741 < 2.2e-16 ***
idConnecticut 3.131560 0.296952 10.5457 < 2.2e-16 ***
idDelaware 2.700855 0.618966 4.3635 1.448e-05 ***
idDistrictofColumbia 1.124298 0.818530 1.3736 0.1699655
idFlorida 1.144018 0.496570 2.3038 0.0214880 *
idGeorgia 1.046791 0.276275 3.7889 0.0001627 ***
idHawaii -0.774844 0.596417 -1.2992 0.1942630
idIdaho 1.255046 0.503130 2.4945 0.0128158 *
idIllinois 1.815963 0.412013 4.4075 1.189e-05 ***
idIndiana 1.037456 0.224061 4.6302 4.264e-06 ***
idIowa 0.639804 0.278810 2.2948 0.0220057 *
idKansas 0.218737 0.236564 0.9246 0.3554302
idKentucky 0.216175 0.145901 1.4817 0.1388273
idLouisiana -0.074335 0.163674 -0.4542 0.6498319
idMaine 1.363863 0.562676 2.4239 0.0155769 *
idMaryland 1.359471 0.202857 6.7016 3.897e-11 ***
idMassachusetts 2.941440 0.304465 9.6610 < 2.2e-16 ***
idMichigan 2.353959 0.379744 6.1988 9.121e-10 ***
idMinnesota 2.346710 0.335826 6.9879 5.897e-12 ***
idMissouri 0.764652 0.181517 4.2126 2.813e-05 ***
idNevada 1.592428 0.308826 5.1564 3.178e-07 ***
idNewHampshire 2.137318 0.532927 4.0105 6.628e-05 ***
idNewJersey 1.864501 0.310972 5.9957 3.069e-09 ***
idNewMexico 1.776135 0.341840 5.1958 2.591e-07 ***
idNewYork 2.598424 0.593315 4.3795 1.348e-05 ***
idNorthCarolina 1.733335 0.274154 6.3225 4.283e-10 ***
idOhio 2.140791 0.374442 5.7173 1.530e-08 ***
idOklahoma 0.632230 0.139833 4.5213 7.079e-06 ***
idOregon 2.648868 0.285227 9.2869 < 2.2e-16 ***
idPennsylvania 2.169198 0.417402 5.1969 2.576e-07 ***
idRhodeIsland 2.174466 0.573496 3.7916 0.0001610 ***
idSouthCarolina 1.229780 0.136629 9.0009 < 2.2e-16 ***
idSouthDakota 0.253364 0.714266 0.3547 0.7228935
idTennessee 0.770142 0.168989 4.5574 5.992e-06 ***
idTexas 1.546715 0.601231 2.5726 0.0102742 *
idUtah 1.482256 0.299440 4.9501 9.055e-07 ***
idVermont 1.488915 0.821431 1.8126 0.0702718 .
idVirginia 1.464877 0.259837 5.6377 2.393e-08 ***
idWashington 2.060039 0.307461 6.7002 3.935e-11 ***
idWisconsin 2.042822 0.302100 6.7621 2.630e-11 ***
time2000 -8.059962 9.585479 -0.8409 0.4006834
time2001 -8.101472 9.587964 -0.8450 0.3983852
time2002 -7.887850 9.591876 -0.8223 0.4111254
time2003 -7.818781 9.594162 -0.8150 0.4153433
time2004 -7.785658 9.599868 -0.8110 0.4175979
time2005 -7.553239 9.604774 -0.7864 0.4318642
time2006 -7.468415 9.609411 -0.7772 0.4372726
time2007 -7.263460 9.609814 -0.7558 0.4499698
time2008 -7.143503 9.606474 -0.7436 0.4573295
time2009 -6.977285 9.604657 -0.7264 0.4677774
time2010 -6.983727 9.609290 -0.7268 0.4675813
time2011 -7.020416 9.611249 -0.7304 0.4653375
time2012 -7.084575 9.615588 -0.7368 0.4614728
time2013 -7.112107 9.610631 -0.7400 0.4595028
time2014 -7.392397 9.612444 -0.7690 0.4420947
time2015 -7.370782 9.618219 -0.7663 0.4437037
time2016 -7.502710 9.620235 -0.7799 0.4356880
time2017 -7.485611 9.620683 -0.7781 0.4367558
time2018 -7.480671 9.621310 -0.7775 0.4370883
time2019 -7.629548 9.622520 -0.7929 0.4280810
time2020 -8.757563 9.622999 -0.9101 0.3630629
iis3 -1.201887 0.323648 -3.7136 0.0002186 ***
iis5 -1.116494 0.324002 -3.4459 0.0005988 ***
iis11 -1.141991 0.323995 -3.5247 0.0004481 ***
iis18 -1.433446 0.323738 -4.4278 1.085e-05 ***
iis126 -1.072883 0.340157 -3.1541 0.0016704 **
iis131 -1.322497 0.336533 -3.9298 9.241e-05 ***
iis135 -1.145851 0.363139 -3.1554 0.0016630 **
iis205 -2.625401 0.445108 -5.8983 5.423e-09 ***
iis207 -1.497037 0.386635 -3.8720 0.0001168 ***
iis208 -1.765082 0.386009 -4.5726 5.582e-06 ***
iis315 1.221861 0.323472 3.7773 0.0001703 ***
iis322 -1.416833 0.322308 -4.3959 1.253e-05 ***
iis358 -1.282406 0.324356 -3.9537 8.379e-05 ***
iis362 -1.442747 0.324342 -4.4482 9.888e-06 ***
iis368 -1.203947 0.325403 -3.6999 0.0002305 ***
iis464 -1.331498 0.322733 -4.1257 4.085e-05 ***
iis740 1.708797 0.336404 5.0796 4.714e-07 ***
iis745 1.188801 0.330978 3.5918 0.0003486 ***
iis746 0.952035 0.330850 2.8775 0.0041150 **
iis755 -1.458560 0.333178 -4.3777 1.359e-05 ***
iis757 -1.122336 0.322840 -3.4764 0.0005356 ***
iis760 -1.184935 0.322763 -3.6712 0.0002575 ***
fesisConnecticut.2009 -0.620966 0.141773 -4.3800 1.345e-05 ***
fesisDelaware.2014 -0.874802 0.159163 -5.4963 5.224e-08 ***
fesisDistrictofColumbia.2008 -0.717796 0.219243 -3.2740 0.0011062 **
fesisDistrictofColumbia.2012 0.975192 0.213516 4.5673 5.722e-06 ***
fesisHawaii.2001 1.647236 0.351729 4.6833 3.319e-06 ***
fesisHawaii.2005 -0.779303 0.188815 -4.1273 4.056e-05 ***
fesisHawaii.2015 1.151366 0.330633 3.4823 0.0005242 ***
fesisHawaii.2017 -1.012581 0.386831 -2.6176 0.0090222 **
fesisLouisiana.2011 -0.847914 0.184790 -4.5885 5.183e-06 ***
fesisLouisiana.2015 1.060583 0.204775 5.1793 2.824e-07 ***
fesisNevada.2012 -0.820551 0.160229 -5.1211 3.812e-07 ***
fesisNevada.2019 1.116717 0.253331 4.4081 1.185e-05 ***
fesisOregon.2004 -0.768589 0.176778 -4.3478 1.554e-05 ***
fesisRhodeIsland.2005 -0.826396 0.165246 -5.0010 7.018e-07 ***
fesisSouthCarolina.2008 0.771268 0.144222 5.3478 1.164e-07 ***
fesisSouthDakota.2008 0.980146 0.173837 5.6383 2.384e-08 ***
fesisUtah.2016 -0.563135 0.171412 -3.2853 0.0010634 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.1078 1 0.74266
Ljung-Box ARCH(1) 4.6031 1 0.03191 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.31063
R-squared 0.94604
Log-lik.(n=903) -172.56232 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Thu Mar 30 13:55:48 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.817466 0.916508 -0.8919 0.3726508
lpop 0.592368 0.388921 1.5231 0.1280624
lgdp_sq 0.036635 0.039306 0.9321 0.3515444
avg_temp 0.006058 0.011610 0.5218 0.6019276
idAlaska 0.798679 0.763814 1.0456 0.2959879
idArizona 1.524666 0.133936 11.3836 < 2.2e-16 ***
idArkansas -0.139757 0.219129 -0.6378 0.5237677
idCalifornia 2.361599 0.694375 3.4010 0.0006990 ***
idColorado 2.062720 0.234045 8.8133 < 2.2e-16 ***
idConnecticut 2.878557 0.253175 11.3698 < 2.2e-16 ***
idDelaware 2.631399 0.567312 4.6384 3.999e-06 ***
idDistrictofColumbia 1.355751 0.749103 1.8098 0.0706348 .
idFlorida 1.063133 0.454870 2.3372 0.0196326 *
idGeorgia 0.988608 0.244654 4.0408 5.752e-05 ***
idHawaii 0.015172 0.543700 0.0279 0.9777433
idIdaho 1.060506 0.433948 2.4439 0.0147106 *
idIllinois 1.488725 0.362779 4.1037 4.412e-05 ***
idIndiana 0.864819 0.190924 4.5297 6.652e-06 ***
idIowa 0.596918 0.248050 2.4064 0.0162971 *
idKansas 0.397059 0.215896 1.8391 0.0662066 .
idKentucky 0.282119 0.130557 2.1609 0.0309514 *
idLouisiana 0.181210 0.141777 1.2781 0.2015117
idMaine 0.744443 0.485302 1.5340 0.1253646
idMaryland 1.230881 0.165944 7.4175 2.625e-13 ***
idMassachusetts 2.635285 0.249577 10.5590 < 2.2e-16 ***
idMichigan 1.926946 0.330468 5.8310 7.526e-09 ***
idMinnesota 1.960427 0.281745 6.9581 6.381e-12 ***
idMississippi 0.492238 0.217292 2.2653 0.0237150 *
idMissouri 0.674890 0.155726 4.3338 1.620e-05 ***
idMontana 0.643790 0.568110 1.1332 0.2574080
idNebraska 0.201845 0.363835 0.5548 0.5791810
idNevada 1.446246 0.280576 5.1546 3.087e-07 ***
idNewHampshire 1.872789 0.477645 3.9209 9.450e-05 ***
idNewJersey 1.621387 0.263570 6.1516 1.125e-09 ***
idNewMexico 1.651686 0.304680 5.4211 7.499e-08 ***
idNewYork 2.053170 0.530112 3.8731 0.0001148 ***
idNorthCarolina 1.567299 0.242124 6.4731 1.530e-10 ***
idNorthDakota 0.675553 0.682429 0.9899 0.3224605
idOhio 1.802917 0.330048 5.4626 5.980e-08 ***
idOklahoma 0.696108 0.128692 5.4091 8.000e-08 ***
idOregon 2.297475 0.257666 8.9165 < 2.2e-16 ***
idPennsylvania 1.782709 0.367827 4.8466 1.464e-06 ***
idRhodeIsland 1.956519 0.508566 3.8471 0.0001274 ***
idSouthCarolina 1.208152 0.129862 9.3033 < 2.2e-16 ***
idSouthDakota 0.394956 0.619456 0.6376 0.5238962
idTennessee 0.279847 0.187880 1.4895 0.1366842
idTexas 1.291944 0.552366 2.3389 0.0195437 *
idUtah 1.207885 0.260039 4.6450 3.874e-06 ***
idVermont 1.305268 0.706274 1.8481 0.0648950 .
idVirginia 1.296835 0.220248 5.8881 5.400e-09 ***
idWashington 1.743429 0.255663 6.8192 1.618e-11 ***
idWestVirginia 0.115669 0.340103 0.3401 0.7338560
idWisconsin 1.683460 0.256051 6.5747 7.996e-11 ***
idWyoming 1.739556 0.780828 2.2278 0.0261229 *
time2000 -0.133738 6.373409 -0.0210 0.9832630
time2001 -0.096525 6.376299 -0.0151 0.9879251
time2002 0.021755 6.377580 0.0034 0.9972790
time2003 0.108516 6.376266 0.0170 0.9864252
time2004 0.088659 6.377617 0.0139 0.9889114
time2005 0.328622 6.379626 0.0515 0.9589289
time2006 0.473152 6.382354 0.0741 0.9409189
time2007 0.622041 6.381920 0.0975 0.9223741
time2008 0.685663 6.380195 0.1075 0.9144407
time2009 0.875599 6.382733 0.1372 0.8909153
time2010 0.825243 6.385640 0.1292 0.8971994
time2011 0.804861 6.386677 0.1260 0.8997410
time2012 0.758061 6.390784 0.1186 0.9056029
time2013 0.693877 6.384909 0.1087 0.9134834
time2014 0.452983 6.384073 0.0710 0.9434483
time2015 0.465581 6.388305 0.0729 0.9419167
time2016 0.372971 6.390269 0.0584 0.9534697
time2017 0.328957 6.389071 0.0515 0.9589478
time2018 0.374926 6.386464 0.0587 0.9531983
time2019 0.217162 6.385045 0.0340 0.9728754
time2020 -0.624706 6.390995 -0.0977 0.9221530
iis65 1.211273 0.338253 3.5810 0.0003595 ***
iis76 0.923899 0.322577 2.8641 0.0042728 **
iis247 -0.877696 0.333512 -2.6317 0.0086329 **
iis249 -1.373239 0.356742 -3.8494 0.0001263 ***
iis250 -1.644841 0.356706 -4.6112 4.545e-06 ***
iis364 -1.125362 0.316476 -3.5559 0.0003951 ***
iis525 1.352912 0.318951 4.2417 2.433e-05 ***
iis527 -1.018840 0.316841 -3.2156 0.0013451 **
iis576 -0.835056 0.322748 -2.5873 0.0098184 **
iis866 1.360881 0.330010 4.1238 4.050e-05 ***
fesisAlaska.2007 -1.002223 0.168370 -5.9525 3.701e-09 ***
fesisAlaska.2014 0.691221 0.170848 4.0458 5.633e-05 ***
fesisArkansas.2006 -0.695042 0.225587 -3.0810 0.0021216 **
fesisArkansas.2009 0.898267 0.201519 4.4575 9.272e-06 ***
fesisConnecticut.2009 -0.546309 0.138615 -3.9412 8.696e-05 ***
fesisDelaware.2014 -0.887511 0.148038 -5.9951 2.876e-09 ***
fesisDistrictofColumbia.2008 -0.889044 0.209797 -4.2376 2.477e-05 ***
fesisDistrictofColumbia.2011 1.182208 0.206499 5.7250 1.383e-08 ***
fesisHawaii.2001 1.009582 0.327597 3.0818 0.0021164 **
fesisHawaii.2009 -0.607187 0.167336 -3.6286 0.0003001 ***
fesisHawaii.2016 0.633657 0.218852 2.8954 0.0038730 **
fesisLouisiana.2011 -0.694478 0.181268 -3.8312 0.0001358 ***
fesisLouisiana.2015 0.904990 0.200305 4.5180 7.019e-06 ***
fesisMaine.2011 0.539693 0.137387 3.9283 9.170e-05 ***
fesisMississippi.2004 -1.128150 0.173898 -6.4874 1.397e-10 ***
fesisNebraska.2012 0.600900 0.140305 4.2828 2.031e-05 ***
fesisNevada.2012 -0.690039 0.155438 -4.4393 1.007e-05 ***
fesisNevada.2019 0.902304 0.248387 3.6327 0.0002954 ***
fesisOregon.2004 -0.669301 0.172233 -3.8860 0.0001089 ***
fesisRhodeIsland.2005 -0.666868 0.161559 -4.1277 3.983e-05 ***
fesisSouthCarolina.2008 0.756364 0.141445 5.3474 1.116e-07 ***
fesisSouthDakota.2008 0.986700 0.156535 6.3034 4.435e-10 ***
fesisSouthDakota.2018 -0.767436 0.204875 -3.7459 0.0001905 ***
fesisTennessee.2005 0.467434 0.158796 2.9436 0.0033223 **
fesisWyoming.2003 -0.676889 0.200195 -3.3811 0.0007510 ***
fesisWyoming.2017 -0.676036 0.199279 -3.3924 0.0007211 ***
fesisWyoming.2020 1.604244 0.356598 4.4987 7.673e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.91273 1 0.3394
Ljung-Box ARCH(1) 0.80321 1 0.3701
SE of regression 0.30560
R-squared 0.94623
Log-lik.(n=1071) -194.03742 us_q25
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.01; AR: 0
Date: Thu Mar 30 13:54:39 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 903
Sample: 1 to 903
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.427275 1.273195 -0.3356 0.7372658
lpop 0.780372 0.386722 2.0179 0.0439328 *
lgdp_sq 0.018392 0.048006 0.3831 0.7017377
avg_temp 0.021747 0.012042 1.8060 0.0712975 .
idArizona 1.530600 0.130577 11.7218 < 2.2e-16 ***
idCalifornia 2.281160 0.674286 3.3831 0.0007516 ***
idColorado 2.347635 0.244715 9.5933 < 2.2e-16 ***
idConnecticut 3.171897 0.259633 12.2168 < 2.2e-16 ***
idDelaware 3.030740 0.542654 5.5850 3.200e-08 ***
idDistrictofColumbia 2.041211 0.702584 2.9053 0.0037700 **
idFlorida 0.797662 0.442532 1.8025 0.0718425 .
idGeorgia 0.909559 0.244288 3.7233 0.0002104 ***
idHawaii 0.017577 0.524051 0.0335 0.9732516
idIdaho 1.544195 0.442737 3.4878 0.0005135 ***
idIllinois 1.578271 0.365292 4.3206 1.752e-05 ***
idIndiana 1.012716 0.195377 5.1834 2.760e-07 ***
idIowa 0.909475 0.244232 3.7238 0.0002100 ***
idKansas 0.560623 0.206485 2.7151 0.0067685 **
idKentucky 0.407937 0.125414 3.2527 0.0011908 **
idLouisiana 0.151279 0.142389 1.0624 0.2883579
idMaine 1.434976 0.491760 2.9180 0.0036208 **
idMaryland 1.355532 0.176612 7.6752 4.799e-14 ***
idMassachusetts 2.860972 0.267231 10.7060 < 2.2e-16 ***
idMichigan 2.133120 0.334199 6.3828 2.940e-10 ***
idMinnesota 2.310446 0.294473 7.8460 1.371e-14 ***
idMissouri 0.785879 0.157277 4.9968 7.159e-07 ***
idNevada 1.756236 0.270159 6.5007 1.404e-10 ***
idNewHampshire 2.385656 0.468647 5.0905 4.452e-07 ***
idNewJersey 1.734107 0.274306 6.3218 4.288e-10 ***
idNewMexico 1.924435 0.299963 6.4156 2.396e-10 ***
idNewYork 2.231443 0.528247 4.2242 2.673e-05 ***
idNorthCarolina 1.559981 0.241677 6.4548 1.874e-10 ***
idOhio 1.901027 0.330740 5.7478 1.284e-08 ***
idOklahoma 0.786530 0.119882 6.5609 9.587e-11 ***
idOregon 2.584335 0.250031 10.3361 < 2.2e-16 ***
idPennsylvania 1.910832 0.369169 5.1760 2.867e-07 ***
idRhodeIsland 2.403230 0.502532 4.7822 2.063e-06 ***
idSouthCarolina 1.234444 0.117267 10.5268 < 2.2e-16 ***
idSouthDakota 1.033361 0.637414 1.6212 0.1053726
idTennessee 0.332747 0.180924 1.8392 0.0662624 .
idTexas 1.119919 0.538106 2.0812 0.0377301 *
idUtah 1.628605 0.262422 6.2061 8.704e-10 ***
idVermont 1.974228 0.720366 2.7406 0.0062693 **
idVirginia 1.419175 0.228787 6.2030 8.865e-10 ***
idWashington 1.985601 0.269711 7.3620 4.497e-13 ***
idWisconsin 1.830146 0.265356 6.8969 1.078e-11 ***
time2000 -4.774105 8.365081 -0.5707 0.5683505
time2001 -4.729676 8.366992 -0.5653 0.5720428
time2002 -4.597846 8.370468 -0.5493 0.5829568
time2003 -4.541542 8.372540 -0.5424 0.5876710
time2004 -4.508321 8.377688 -0.5381 0.5906336
time2005 -4.305402 8.381836 -0.5137 0.6076322
time2006 -4.220808 8.385898 -0.5033 0.6148760
time2007 -4.046062 8.386201 -0.4825 0.6296062
time2008 -3.937372 8.384092 -0.4696 0.6387512
time2009 -3.771844 8.381994 -0.4500 0.6528366
time2010 -3.786068 8.385482 -0.4515 0.6517493
time2011 -3.844045 8.387913 -0.4583 0.6468727
time2012 -3.889339 8.392015 -0.4635 0.6431625
time2013 -3.908393 8.387555 -0.4660 0.6413597
time2014 -4.170427 8.389301 -0.4971 0.6192459
time2015 -4.163072 8.394493 -0.4959 0.6200804
time2016 -4.274788 8.396403 -0.5091 0.6108072
time2017 -4.298400 8.396665 -0.5119 0.6088496
time2018 -4.247210 8.397015 -0.5058 0.6131360
time2019 -4.408143 8.398045 -0.5249 0.5997970
time2020 -5.385429 8.398226 -0.6413 0.5215384
iis131 -1.047177 0.287822 -3.6383 0.0002920 ***
iis135 -1.528208 0.288524 -5.2966 1.525e-07 ***
iis136 -0.867251 0.288349 -3.0076 0.0027151 **
iis137 -0.929622 0.288355 -3.2239 0.0013158 **
iis205 -0.900083 0.301349 -2.9868 0.0029045 **
iis207 -1.414265 0.322567 -4.3844 1.318e-05 ***
iis208 -1.699864 0.322505 -5.2708 1.747e-07 ***
iis315 1.092499 0.286932 3.8075 0.0001511 ***
iis322 -1.069214 0.285901 -3.7398 0.0001973 ***
iis362 -0.803195 0.294399 -2.7283 0.0065064 **
iis368 -0.777735 0.296291 -2.6249 0.0088324 **
iis464 -1.029288 0.286408 -3.5938 0.0003458 ***
iis745 0.834142 0.294823 2.8293 0.0047816 **
iis842 -0.928714 0.286231 -3.2446 0.0012248 **
fesisConnecticut.2009 -0.564218 0.125969 -4.4790 8.587e-06 ***
fesisDelaware.2014 -0.907478 0.134987 -6.7227 3.386e-11 ***
fesisHawaii.2001 0.992731 0.296310 3.3503 0.0008449 ***
fesisHawaii.2009 -0.622438 0.151644 -4.1046 4.465e-05 ***
fesisHawaii.2016 0.659266 0.197912 3.3311 0.0009046 ***
fesisLouisiana.2011 -0.705815 0.164048 -4.3025 1.897e-05 ***
fesisLouisiana.2015 0.903712 0.181648 4.9751 7.983e-07 ***
fesisMaine.2011 0.390738 0.130901 2.9850 0.0029221 **
fesisNevada.2012 -0.749442 0.141776 -5.2861 1.612e-07 ***
fesisNevada.2019 0.972172 0.224647 4.3276 1.698e-05 ***
fesisOregon.2004 -0.672304 0.156701 -4.2904 2.002e-05 ***
fesisRhodeIsland.2005 -0.667374 0.146762 -4.5473 6.272e-06 ***
fesisSouthCarolina.2008 0.725444 0.127763 5.6781 1.905e-08 ***
fesisSouthDakota.2004 1.258291 0.312610 4.0251 6.235e-05 ***
fesisSouthDakota.2005 -1.391510 0.322443 -4.3155 1.791e-05 ***
fesisSouthDakota.2008 0.960490 0.191960 5.0036 6.918e-07 ***
fesisSouthDakota.2018 -0.635500 0.188004 -3.3802 0.0007592 ***
fesisTennessee.2005 0.465479 0.143341 3.2474 0.0012133 **
fesisUtah.2016 -0.457657 0.151604 -3.0188 0.0026184 **
fesisWisconsin.2014 0.455817 0.130529 3.4921 0.0005055 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.017863 1 0.8937
Ljung-Box ARCH(1) 0.869265 1 0.3512
SE of regression 0.27552
R-squared 0.94648
Log-lik.(n=903) -66.75849 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Thu Mar 30 13:48:32 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -173.839647 23.743146 -7.3217 5.131e-13 ***
lpop 21.517909 7.857243 2.7386 0.0062828 **
lgdp_sq 6.286167 0.985121 6.3811 2.717e-10 ***
avg_temp -0.024337 0.244488 -0.0995 0.9207284
idAlaska -0.970332 15.503298 -0.0626 0.9501068
idArizona 18.049776 2.816097 6.4095 2.273e-10 ***
idArkansas -4.108178 3.868953 -1.0618 0.2885757
idCalifornia 116.355891 15.438775 7.5366 1.103e-13 ***
idColorado 32.041465 4.878563 6.5678 8.305e-11 ***
idConnecticut 52.849024 5.027212 10.5126 < 2.2e-16 ***
idDelaware 14.925191 11.313677 1.3192 0.1874074
idDistrictofColumbia 30.392283 14.682934 2.0699 0.0387249 *
idFlorida 15.792479 9.246269 1.7080 0.0879586 .
idGeorgia 12.269744 5.069713 2.4202 0.0156942 *
idHawaii -0.151160 9.028967 -0.0167 0.9866462
idIdaho -8.335227 9.189451 -0.9070 0.3646089
idIllinois 23.800302 7.443354 3.1975 0.0014309 **
idIndiana 8.207571 3.974591 2.0650 0.0391867 *
idIowa 5.259738 5.129192 1.0255 0.3054053
idKansas 3.605216 4.428015 0.8142 0.4157394
idKentucky 0.897098 2.760316 0.3250 0.7452522
idLouisiana 5.549265 2.638762 2.1030 0.0357240 *
idMaine -8.378734 10.273905 -0.8155 0.4149657
idMaryland 15.345951 3.517506 4.3627 1.422e-05 ***
idMassachusetts 48.932735 5.730490 8.5390 < 2.2e-16 ***
idMichigan 34.415710 6.766832 5.0859 4.388e-07 ***
idMinnesota 27.443237 5.864239 4.6798 3.279e-06 ***
idMississippi -8.034347 3.791856 -2.1188 0.0343569 *
idMissouri 6.016000 3.252983 1.8494 0.0647065 .
idMontana -15.743007 12.006644 -1.3112 0.1901028
idNebraska 3.009035 7.371508 0.4082 0.6832182
idNevada 8.512748 5.304273 1.6049 0.1088439
idNewHampshire 4.654042 9.865143 0.4718 0.6371995
idNewJersey 26.507377 5.491436 4.8270 1.609e-06 ***
idNewMexico 4.489114 6.314296 0.7109 0.4772892
idNewYork 66.373044 10.901539 6.0884 1.640e-09 ***
idNorthCarolina 23.403386 4.979711 4.6997 2.980e-06 ***
idNorthDakota -17.981387 14.564243 -1.2346 0.2172683
idOhio 32.489378 6.733945 4.8247 1.627e-06 ***
idOklahoma 4.607253 2.689293 1.7132 0.0869976 .
idOregon 15.471379 4.563059 3.3906 0.0007255 ***
idPennsylvania 25.783332 7.923748 3.2539 0.0011774 **
idRhodeIsland -4.307630 10.558764 -0.4080 0.6833875
idSouthCarolina 18.465272 2.040843 9.0479 < 2.2e-16 ***
idSouthDakota -10.661499 12.717169 -0.8384 0.4020376
idTennessee 6.583389 3.048079 2.1598 0.0310283 *
idTexas 27.719805 11.277590 2.4580 0.0141467 *
idUtah 6.861015 5.393363 1.2721 0.2036341
idVermont -20.331350 14.923096 -1.3624 0.1733847
idVirginia 18.597458 4.597487 4.0451 5.644e-05 ***
idWashington 26.322530 5.325946 4.9423 9.088e-07 ***
idWestVirginia -9.198380 7.170438 -1.2828 0.1998610
idWisconsin 19.471682 5.338433 3.6475 0.0002789 ***
idWyoming -6.805647 15.457943 -0.4403 0.6598405
time2000 996.202193 161.750238 6.1589 1.071e-09 ***
time2001 997.029124 161.821720 6.1613 1.055e-09 ***
time2002 999.114728 161.862712 6.1726 9.851e-10 ***
time2003 999.904189 161.865168 6.1774 9.568e-10 ***
time2004 1001.624355 161.926271 6.1857 9.097e-10 ***
time2005 1003.921371 161.993259 6.1973 8.474e-10 ***
time2006 1006.491736 162.088082 6.2095 7.863e-10 ***
time2007 1008.352621 162.090129 6.2209 7.333e-10 ***
time2008 1010.286096 162.061640 6.2340 6.770e-10 ***
time2009 1013.397190 162.094249 6.2519 6.063e-10 ***
time2010 1014.383437 162.172053 6.2550 5.949e-10 ***
time2011 1013.492433 162.210206 6.2480 6.209e-10 ***
time2012 1012.406314 162.290683 6.2382 6.594e-10 ***
time2013 1011.833543 162.155723 6.2399 6.528e-10 ***
time2014 1007.790921 162.171322 6.2144 7.634e-10 ***
time2015 1008.558828 162.281479 6.2149 7.610e-10 ***
time2016 1006.729553 162.340502 6.2013 8.267e-10 ***
time2017 1007.475374 162.332848 6.2062 8.024e-10 ***
time2018 1007.450832 162.290254 6.2077 7.951e-10 ***
time2019 1005.870319 162.268309 6.1988 8.396e-10 ***
time2020 997.170380 162.367057 6.1415 1.190e-09 ***
iis85 -72.253787 9.427735 -7.6640 4.356e-14 ***
iis86 -46.745558 9.425537 -4.9595 8.340e-07 ***
iis87 -54.388869 9.418837 -5.7745 1.038e-08 ***
iis88 -53.507737 9.418476 -5.6811 1.767e-08 ***
iis89 -24.778486 9.406539 -2.6342 0.0085682 **
iis92 39.502726 7.457722 5.2969 1.457e-07 ***
iis93 87.056601 7.450347 11.6849 < 2.2e-16 ***
iis94 119.945499 7.460277 16.0779 < 2.2e-16 ***
iis95 87.646053 7.469076 11.7345 < 2.2e-16 ***
iis96 77.532533 7.474198 10.3734 < 2.2e-16 ***
iis97 64.259629 7.461188 8.6125 < 2.2e-16 ***
iis98 57.109061 7.437206 7.6788 3.905e-14 ***
iis105 -140.895202 7.680583 -18.3443 < 2.2e-16 ***
iis450 28.386999 7.109274 3.9930 7.017e-05 ***
iis693 -34.933368 7.438931 -4.6960 3.034e-06 ***
fesisCalifornia.2006 79.794177 7.492126 10.6504 < 2.2e-16 ***
fesisCalifornia.2017 -41.262296 5.166510 -7.9865 3.906e-15 ***
fesisConnecticut.2013 -19.784585 3.033061 -6.5230 1.107e-10 ***
fesisMassachusetts.2006 32.722215 3.738906 8.7518 < 2.2e-16 ***
fesisMassachusetts.2014 -26.994156 3.575324 -7.5501 9.999e-14 ***
fesisNewYork.2016 -19.707860 3.840399 -5.1317 3.466e-07 ***
fesisNorthDakota.2012 18.916494 3.823981 4.9468 8.886e-07 ***
fesisPennsylvania.2007 29.265085 3.584766 8.1637 1.001e-15 ***
fesisPennsylvania.2014 -29.756674 3.577567 -8.3176 3.010e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 192.37 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 111.12 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.58252
R-squared 0.96801
Log-lik.(n=1071) -3488.39465 us_q25
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.01; AR: 0
Date: Thu Mar 30 13:45:05 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 903
Sample: 1 to 903
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -182.850275 31.970587 -5.7193 1.502e-08 ***
lpop 19.110037 9.142412 2.0903 0.0369044 *
lgdp_sq 6.802014 1.273733 5.3402 1.206e-07 ***
avg_temp 0.093003 0.317564 0.2929 0.7696998
idArizona 17.626487 3.239533 5.4411 7.014e-08 ***
idCalifornia 98.794477 17.017273 5.8055 9.196e-09 ***
idColorado 32.679478 6.218307 5.2554 1.889e-07 ***
idConnecticut 54.735238 6.393786 8.5607 < 2.2e-16 ***
idDelaware 15.003421 12.927859 1.1605 0.2461658
idDistrictofColumbia 28.038900 16.853508 1.6637 0.0965611 .
idFlorida 11.922706 10.684865 1.1158 0.2648160
idGeorgia 10.280681 5.874206 1.7501 0.0804715 .
idHawaii -1.919989 10.614281 -0.1809 0.8565011
idIdaho -5.398139 10.999179 -0.4908 0.6237169
idIllinois 21.820998 8.856011 2.4640 0.0139465 *
idIndiana 8.452473 4.903606 1.7237 0.0851375 .
idIowa 6.659730 6.234370 1.0682 0.2857346
idKansas 4.353254 5.155031 0.8445 0.3986569
idKentucky 1.721074 3.283371 0.5242 0.6002969
idLouisiana 4.238518 3.088696 1.3723 0.1703585
idMaine -5.390085 12.252632 -0.4399 0.6601174
idMaryland 14.709351 4.320935 3.4042 0.0006961 ***
idMassachusetts 49.163618 7.083891 6.9402 8.003e-12 ***
idMichigan 34.955263 8.317829 4.2025 2.933e-05 ***
idMinnesota 28.548014 7.534282 3.7891 0.0001624 ***
idMissouri 6.147282 3.953063 1.5551 0.1203190
idNevada 9.666143 6.277342 1.5398 0.1239869
idNewHampshire 6.856838 11.604968 0.5909 0.5547827
idNewJersey 25.007477 6.640126 3.7661 0.0001778 ***
idNewMexico 5.870543 7.342619 0.7995 0.4242247
idNewYork 63.010393 13.023121 4.8383 1.566e-06 ***
idNorthCarolina 22.114093 5.811056 3.8055 0.0001521 ***
idOhio 31.593418 8.038750 3.9301 9.212e-05 ***
idOklahoma 4.814022 3.051105 1.5778 0.1150015
idOregon 17.030306 5.686169 2.9950 0.0028274 **
idPennsylvania 34.321850 8.998820 3.8140 0.0001471 ***
idRhodeIsland -2.744730 12.274729 -0.2236 0.8231183
idSouthCarolina 18.524774 2.262977 8.1860 1.040e-15 ***
idSouthDakota -8.645237 14.879163 -0.5810 0.5613814
idTennessee 6.323045 3.594446 1.7591 0.0789341 .
idTexas 22.471872 13.072136 1.7191 0.0859829 .
idUtah 8.461680 6.465795 1.3087 0.1910113
idVermont -18.028665 17.596229 -1.0246 0.3058683
idVirginia 17.418336 5.521035 3.1549 0.0016646 **
idWashington 26.163185 6.714806 3.8963 0.0001057 ***
idWisconsin 20.799574 6.822792 3.0485 0.0023740 **
time2000 1042.161633 211.481975 4.9279 1.007e-06 ***
time2001 1042.837430 211.561414 4.9292 1.001e-06 ***
time2002 1045.122461 211.616906 4.9387 9.545e-07 ***
time2003 1045.850423 211.623079 4.9420 9.390e-07 ***
time2004 1047.366968 211.726450 4.9468 9.170e-07 ***
time2005 1050.189795 211.808935 4.9582 8.663e-07 ***
time2006 1052.203832 211.910577 4.9653 8.360e-07 ***
time2007 1055.192919 211.893983 4.9798 7.775e-07 ***
time2008 1057.656555 211.854660 4.9924 7.300e-07 ***
time2009 1061.763501 211.849857 5.0119 6.618e-07 ***
time2010 1062.718672 211.949214 5.0140 6.546e-07 ***
time2011 1061.297999 211.989502 5.0064 6.803e-07 ***
time2012 1059.997432 212.111145 4.9974 7.119e-07 ***
time2013 1059.333405 211.941940 4.9982 7.088e-07 ***
time2014 1053.787624 211.956062 4.9717 8.096e-07 ***
time2015 1054.433993 212.096983 4.9715 8.107e-07 ***
time2016 1052.199912 212.189885 4.9588 8.638e-07 ***
time2017 1053.035928 212.184308 4.9628 8.464e-07 ***
time2018 1052.922849 212.152420 4.9630 8.455e-07 ***
time2019 1051.037817 212.139813 4.9545 8.826e-07 ***
time2020 1040.858357 212.229766 4.9044 1.132e-06 ***
iis43 -59.314945 9.066976 -6.5419 1.074e-10 ***
iis44 -33.643106 9.064584 -3.7115 0.0002201 ***
iis45 -41.525841 9.056938 -4.5850 5.255e-06 ***
iis46 -40.851221 9.055618 -4.5111 7.398e-06 ***
iis49 52.048613 8.729890 5.9621 3.710e-09 ***
iis50 80.769158 8.696788 9.2872 < 2.2e-16 ***
iis51 127.756629 8.686213 14.7080 < 2.2e-16 ***
iis52 159.879698 8.718651 18.3377 < 2.2e-16 ***
iis53 127.643583 8.707390 14.6592 < 2.2e-16 ***
iis54 118.034056 8.703737 13.5613 < 2.2e-16 ***
iis55 104.607262 8.672329 12.0622 < 2.2e-16 ***
iis56 97.405106 8.633365 11.2824 < 2.2e-16 ***
iis57 40.083329 8.670652 4.6229 4.401e-06 ***
iis58 37.280664 8.569636 4.3503 1.532e-05 ***
iis59 37.414748 8.545080 4.3785 1.351e-05 ***
iis63 -139.356037 8.529358 -16.3384 < 2.2e-16 ***
iis408 28.610827 7.894668 3.6241 0.0003080 ***
iis588 -33.238217 8.261107 -4.0235 6.270e-05 ***
fesisCalifornia.2006 49.639768 7.093666 6.9978 5.440e-12 ***
fesisConnecticut.2009 -16.549613 3.310198 -4.9996 7.040e-07 ***
fesisMassachusetts.2006 30.563044 4.153326 7.3587 4.548e-13 ***
fesisMassachusetts.2014 -25.340111 3.966999 -6.3877 2.831e-10 ***
fesisNewYork.2016 -19.395846 4.265564 -4.5471 6.267e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 176.847 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 70.157 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.29534
R-squared 0.96537
Log-lik.(n=903) -3030.77486 AR1
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Thu Mar 30 14:04:36 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.019074 0.028916 0.6596 0.5096505
lgdp 50.380694 3.690418 13.6518 < 2.2e-16 ***
lpop -39.613917 2.273062 -17.4276 < 2.2e-16 ***
lgdp_sq -1.830075 0.220054 -8.3165 3.283e-16 ***
avg_temp -0.063897 0.089415 -0.7146 0.4750331
idAlaska -0.796288 0.174284 -4.5689 5.578e-06 ***
idArizona 1.903561 0.130671 14.5676 < 2.2e-16 ***
idArkansas 0.884278 0.380006 2.3270 0.0201833 *
idCalifornia 4.173524 0.170702 24.4491 < 2.2e-16 ***
idColorado 2.252950 0.135064 16.6807 < 2.2e-16 ***
idConnecticut 2.893930 0.177418 16.3113 < 2.2e-16 ***
idDelaware 1.757921 0.142069 12.3737 < 2.2e-16 ***
idDistrictofColumbia 0.216523 0.172481 1.2553 0.2096762
idFlorida 2.345285 0.136321 17.2042 < 2.2e-16 ***
idGeorgia 1.655659 0.127894 12.9456 < 2.2e-16 ***
idHawaii 0.141390 0.122345 1.1557 0.2481241
idIdaho 0.286037 0.117676 2.4307 0.0152610 *
idIllinois 2.362110 0.136976 17.2447 < 2.2e-16 ***
idIndiana 1.197654 0.122689 9.7617 < 2.2e-16 ***
idIowa 0.272706 0.117625 2.3184 0.0206469 *
idKansas -0.019323 0.117321 -0.1647 0.8692158
idKentucky 0.179184 0.118953 1.5063 0.1323274
idLouisiana 0.113721 0.117414 0.9685 0.3330288
idMaine 0.191079 0.118895 1.6071 0.1083725
idMaryland 1.535412 0.125893 12.1962 < 2.2e-16 ***
idMassachusetts 3.038116 0.148278 20.4893 < 2.2e-16 ***
idMichigan 2.572753 0.140442 18.3189 < 2.2e-16 ***
idMinnesota 2.145976 0.134036 16.0104 < 2.2e-16 ***
idMississippi -1.227179 0.128317 -9.5637 < 2.2e-16 ***
idMissouri 0.928943 0.121591 7.6399 5.502e-14 ***
idMontana -0.617057 0.118549 -5.2051 2.397e-07 ***
idNebraska -0.650784 0.145603 -4.4696 8.826e-06 ***
idNevada 0.886146 0.120400 7.3600 4.111e-13 ***
idNewHampshire 1.066159 0.122133 8.7295 < 2.2e-16 ***
idNewJersey 2.236596 0.135136 16.5507 < 2.2e-16 ***
idNewMexico 1.202397 0.122950 9.7796 < 2.2e-16 ***
idNewYork 3.261397 0.152716 21.3560 < 2.2e-16 ***
idNorthCarolina 2.246451 0.135129 16.6245 < 2.2e-16 ***
idNorthDakota -0.757478 0.121757 -6.2212 7.514e-10 ***
idOhio 2.579687 0.140929 18.3049 < 2.2e-16 ***
idOklahoma 0.647998 0.118829 5.4532 6.376e-08 ***
idOregon 1.706828 0.128090 13.3253 < 2.2e-16 ***
idPennsylvania 2.641543 0.141661 18.6470 < 2.2e-16 ***
idRhodeIsland 1.222128 0.206057 5.9310 4.273e-09 ***
idSouthCarolina 1.330287 0.167759 7.9297 6.414e-15 ***
idSouthDakota -0.994212 0.231375 -4.2970 1.918e-05 ***
idTennessee 1.035226 0.122253 8.4679 < 2.2e-16 ***
idTexas 2.789460 0.143887 19.3865 < 2.2e-16 ***
idUtah 0.885998 0.120517 7.3517 4.360e-13 ***
idVermont -0.061984 0.117320 -0.5283 0.5973975
idVirginia 1.845607 0.129610 14.2397 < 2.2e-16 ***
idWashington 2.137756 0.133449 16.0193 < 2.2e-16 ***
idWestVirginia -0.769000 0.119275 -6.4473 1.845e-10 ***
idWisconsin 1.910537 0.130171 14.6771 < 2.2e-16 ***
idWyoming -0.441469 0.126854 -3.4801 0.0005249 ***
time2001 -2.796206 0.575464 -4.8590 1.389e-06 ***
time2002 -2.688232 0.533579 -5.0381 5.670e-07 ***
time2003 -2.583384 0.462749 -5.5827 3.126e-08 ***
time2004 -2.729814 0.329796 -8.2773 4.462e-16 ***
time2005 -2.379763 0.253069 -9.4036 < 2.2e-16 ***
time2006 -1.740122 0.203913 -8.5336 < 2.2e-16 ***
time2007 -1.208997 0.177097 -6.8268 1.585e-11 ***
time2008 -0.814112 0.217637 -3.7407 0.0001950 ***
time2009 -0.114294 0.257257 -0.4443 0.6569458
time2010 -0.065233 0.230503 -0.2830 0.7772398
time2011 0.039727 0.168189 0.2362 0.8133275
time2012 0.153991 0.153871 1.0008 0.3171987
time2013 -0.047213 0.205264 -0.2300 0.8181352
time2014 -0.206631 0.250061 -0.8263 0.4088372
time2015 0.103765 0.120943 0.8580 0.3911371
time2016 0.044282 0.109911 0.4029 0.6871214
iis17 -1.187407 0.379672 -3.1275 0.0018193 **
iis75 -1.459675 0.387977 -3.7623 0.0001791 ***
iis79 -1.565092 0.388756 -4.0259 6.148e-05 ***
iis164 -1.329543 0.399724 -3.3261 0.0009158 ***
iis168 -1.211812 0.429861 -2.8191 0.0049207 **
iis235 -1.699714 0.380613 -4.4657 8.982e-06 ***
iis237 -1.575378 0.382148 -4.1224 4.092e-05 ***
iis238 -1.791913 0.382284 -4.6874 3.190e-06 ***
iis346 -1.469578 0.379484 -3.8726 0.0001154 ***
iis384 -1.347022 0.379918 -3.5456 0.0004117 ***
iis481 1.386250 0.381498 3.6337 0.0002950 ***
iis482 2.027382 0.383003 5.2934 1.506e-07 ***
iis483 1.780332 0.385157 4.6223 4.342e-06 ***
iis501 -1.370882 0.379613 -3.6113 0.0003214 ***
iis548 -1.111002 0.389964 -2.8490 0.0044848 **
iis687 -1.197759 0.380949 -3.1441 0.0017198 **
iis829 1.027913 0.386266 2.6612 0.0079245 **
iis839 -1.628325 0.386425 -4.2138 2.761e-05 ***
iis843 -1.246098 0.379553 -3.2831 0.0010660 **
iis1002 1.203170 0.382050 3.1492 0.0016903 **
fesisAlaska.2007 -1.188477 0.207581 -5.7254 1.401e-08 ***
fesisAlaska.2014 0.768037 0.198037 3.8783 0.0001128 ***
fesisArkansas.2002 -1.556412 0.413664 -3.7625 0.0001790 ***
fesisArkansas.2006 -0.865953 0.282690 -3.0633 0.0022539 **
fesisArkansas.2009 1.518966 0.243887 6.2282 7.202e-10 ***
fesisConnecticut.2009 -0.605754 0.169841 -3.5666 0.0003805 ***
fesisDelaware.2014 -0.827115 0.183714 -4.5022 7.598e-06 ***
fesisDelaware.2020 -1.195272 0.399563 -2.9914 0.0028515 **
fesisDistrictofColumbia.2008 -0.680644 0.262891 -2.5891 0.0097770 **
fesisDistrictofColumbia.2012 0.980313 0.250622 3.9115 9.854e-05 ***
fesisMississippi.2020 1.526418 0.381401 4.0021 6.788e-05 ***
fesisNebraska.2012 0.774605 0.172102 4.5008 7.646e-06 ***
fesisRhodeIsland.2005 -0.896023 0.208246 -4.3027 1.870e-05 ***
fesisSouthCarolina.2008 0.823653 0.175107 4.7037 2.951e-06 ***
fesisSouthDakota.2004 1.689649 0.427221 3.9550 8.249e-05 ***
fesisSouthDakota.2005 -1.835290 0.427249 -4.2956 1.930e-05 ***
fesisSouthDakota.2008 1.198002 0.241569 4.9592 8.442e-07 ***
fesisWyoming.2017 -0.963831 0.235794 -4.0876 4.744e-05 ***
fesisWyoming.2020 1.948370 0.427297 4.5598 5.821e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.082864 1 0.773454
Ljung-Box ARCH(1) 7.193671 1 0.007316 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.36611
R-squared 0.94128
Log-lik.(n=1020) -367.40855 us_q25
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.01; AR: 1
Date: Thu Mar 30 14:08:43 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 860
Sample: 1 to 860
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.022307 0.029384 0.7592 0.4479895
lgdp 58.680348 3.406874 17.2241 < 2.2e-16 ***
lpop -45.187852 2.068064 -21.8503 < 2.2e-16 ***
lgdp_sq -2.189357 0.203787 -10.7434 < 2.2e-16 ***
avg_temp -0.067006 0.082491 -0.8123 0.4168816
idArizona 1.710551 0.119268 14.3421 < 2.2e-16 ***
idCalifornia 3.973084 0.163415 24.3128 < 2.2e-16 ***
idColorado 2.058891 0.124231 16.5731 < 2.2e-16 ***
idConnecticut 2.726302 0.161495 16.8816 < 2.2e-16 ***
idDelaware 1.572372 0.127918 12.2921 < 2.2e-16 ***
idDistrictofColumbia 0.065445 0.149165 0.4387 0.6609698
idFlorida 2.150947 0.125644 17.1194 < 2.2e-16 ***
idGeorgia 1.463389 0.116108 12.6036 < 2.2e-16 ***
idHawaii 0.216373 0.134980 1.6030 0.1093480
idIdaho 0.154023 0.105563 1.4591 0.1449587
idIllinois 2.167629 0.126380 17.1517 < 2.2e-16 ***
idIndiana 1.007063 0.110134 9.1439 < 2.2e-16 ***
idIowa 0.032869 0.105509 0.3115 0.7554859
idKansas -0.267708 0.105111 -2.5469 0.0110638 *
idKentucky -0.011921 0.105238 -0.1133 0.9098424
idLouisiana 0.040859 0.125800 0.3248 0.7454271
idMaine 0.068117 0.106358 0.6405 0.5220700
idMaryland 1.343730 0.113820 11.8057 < 2.2e-16 ***
idMassachusetts 2.841402 0.138951 20.4490 < 2.2e-16 ***
idMichigan 2.377545 0.130257 18.2527 < 2.2e-16 ***
idMinnesota 1.952152 0.123074 15.8617 < 2.2e-16 ***
idMissouri 0.737769 0.108306 6.8119 1.954e-11 ***
idNevada 0.905519 0.126969 7.1318 2.303e-12 ***
idNewHampshire 0.875787 0.109491 7.9987 4.663e-15 ***
idNewJersey 2.042521 0.124312 16.4306 < 2.2e-16 ***
idNewMexico 1.011708 0.110435 9.1611 < 2.2e-16 ***
idNewYork 3.063890 0.143837 21.3011 < 2.2e-16 ***
idNorthCarolina 2.052378 0.124304 16.5109 < 2.2e-16 ***
idOhio 2.384381 0.130800 18.2293 < 2.2e-16 ***
idOklahoma 0.459311 0.105647 4.3476 1.563e-05 ***
idOregon 2.208360 0.208471 10.5931 < 2.2e-16 ***
idPennsylvania 2.446090 0.131615 18.5852 < 2.2e-16 ***
idRhodeIsland 1.153473 0.199597 5.7790 1.095e-08 ***
idSouthCarolina 1.163206 0.147577 7.8820 1.112e-14 ***
idSouthDakota -1.215874 0.150801 -8.0628 2.881e-15 ***
idTennessee 0.843285 0.109105 7.7291 3.418e-14 ***
idTexas 2.593570 0.134090 19.3420 < 2.2e-16 ***
idUtah 0.696338 0.107616 6.4706 1.745e-10 ***
idVermont -0.248540 0.103861 -2.3930 0.0169515 *
idVirginia 1.652871 0.118063 13.9999 < 2.2e-16 ***
idWashington 1.944069 0.122411 15.8814 < 2.2e-16 ***
idWisconsin 1.717655 0.118700 14.4705 < 2.2e-16 ***
time2001 -3.473073 0.532592 -6.5211 1.270e-10 ***
time2002 -3.284338 0.493697 -6.6525 5.496e-11 ***
time2003 -3.210358 0.428535 -7.4915 1.887e-13 ***
time2004 -3.213178 0.305544 -10.5162 < 2.2e-16 ***
time2005 -2.848470 0.234188 -12.1632 < 2.2e-16 ***
time2006 -2.196513 0.188401 -11.6587 < 2.2e-16 ***
time2007 -1.611048 0.163427 -9.8579 < 2.2e-16 ***
time2008 -1.154958 0.201543 -5.7306 1.441e-08 ***
time2009 -0.354984 0.238375 -1.4892 0.1368513
time2010 -0.210936 0.213996 -0.9857 0.3245935
time2011 -0.156933 0.155912 -1.0066 0.3144697
time2012 0.030394 0.142448 0.2134 0.8310976
time2013 -0.130870 0.189812 -0.6895 0.4907335
time2014 -0.291923 0.231105 -1.2632 0.2069179
time2015 0.019224 0.111345 0.1726 0.8629725
time2016 -0.026419 0.101611 -0.2600 0.7949288
iis2 -1.167159 0.322839 -3.6153 0.0003197 ***
iis4 -1.134984 0.322953 -3.5144 0.0004667 ***
iis10 -1.178309 0.322706 -3.6513 0.0002787 ***
iis17 -1.439717 0.322858 -4.4593 9.459e-06 ***
iis124 -1.408405 0.338472 -4.1611 3.528e-05 ***
iis195 -1.361019 0.331914 -4.1005 4.565e-05 ***
iis196 1.270046 0.334075 3.8017 0.0001552 ***
iis197 -1.284525 0.334250 -3.8430 0.0001317 ***
iis198 -1.470641 0.333636 -4.4079 1.193e-05 ***
iis201 -1.111691 0.321306 -3.4599 0.0005704 ***
iis262 1.046270 0.322161 3.2477 0.0012145 **
iis306 -1.389689 0.321113 -4.3277 1.707e-05 ***
iis344 -1.451729 0.322082 -4.5073 7.595e-06 ***
iis350 -1.173172 0.321950 -3.6440 0.0002867 ***
iis441 -1.336241 0.321245 -4.1596 3.551e-05 ***
iis704 1.684936 0.338272 4.9810 7.828e-07 ***
iis719 -1.524994 0.330068 -4.6202 4.499e-06 ***
iis723 -1.202645 0.321149 -3.7448 0.0001941 ***
fesisConnecticut.2009 -0.651559 0.144322 -4.5146 7.345e-06 ***
fesisDelaware.2014 -1.015329 0.148537 -6.8355 1.673e-11 ***
fesisDistrictofColumbia.2008 -1.261157 0.221871 -5.6842 1.871e-08 ***
fesisDistrictofColumbia.2011 1.451934 0.207939 6.9825 6.312e-12 ***
fesisHawaii.2009 -0.620323 0.157305 -3.9434 8.772e-05 ***
fesisKansas.2020 1.237235 0.321244 3.8514 0.0001273 ***
fesisLouisiana.2011 -0.845072 0.186735 -4.5255 6.986e-06 ***
fesisLouisiana.2015 1.027650 0.203398 5.0524 5.464e-07 ***
fesisNevada.2012 -0.713406 0.152519 -4.6775 3.435e-06 ***
fesisNevada.2019 1.120575 0.251053 4.4635 9.279e-06 ***
fesisOregon.2004 -0.816302 0.197244 -4.1385 3.884e-05 ***
fesisRhodeIsland.2004 -0.897726 0.198936 -4.5126 7.412e-06 ***
fesisRhodeIsland.2019 -0.736436 0.236218 -3.1176 0.0018917 **
fesisSouthCarolina.2008 0.784104 0.148528 5.2792 1.693e-07 ***
fesisSouthDakota.2008 1.726160 0.222922 7.7433 3.080e-14 ***
fesisSouthDakota.2011 -0.754777 0.208796 -3.6149 0.0003202 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0031803 1 0.9550
Ljung-Box ARCH(1) 1.9306558 1 0.1647
SE of regression 0.30923
R-squared 0.94548
Log-lik.(n=860) -162.42030 0.05
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Thu Mar 30 14:04:40 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.010941 0.026082 0.4195 0.6749635
lgdp 53.327528 3.233205 16.4937 < 2.2e-16 ***
lpop -41.365939 1.983414 -20.8559 < 2.2e-16 ***
lgdp_sq -1.936686 0.192007 -10.0865 < 2.2e-16 ***
avg_temp -0.154836 0.077038 -2.0099 0.0447571 *
idAlaska -0.231492 0.258842 -0.8943 0.3713917
idArizona 2.642537 0.235573 11.2175 < 2.2e-16 ***
idArkansas 1.366884 0.309439 4.4173 1.127e-05 ***
idCalifornia 4.931192 0.255462 19.3030 < 2.2e-16 ***
idColorado 2.994564 0.237566 12.6052 < 2.2e-16 ***
idConnecticut 3.646513 0.256408 14.2215 < 2.2e-16 ***
idDelaware 2.494535 0.239815 10.4019 < 2.2e-16 ***
idDistrictofColumbia 0.942524 0.252011 3.7400 0.0001962 ***
idFlorida 3.087603 0.238145 12.9652 < 2.2e-16 ***
idGeorgia 2.392773 0.234340 10.2107 < 2.2e-16 ***
idHawaii 1.104609 0.244325 4.5211 7.013e-06 ***
idIdaho -0.136241 0.377284 -0.3611 0.7181058
idIllinois 3.104788 0.238449 13.0207 < 2.2e-16 ***
idIndiana 1.930542 0.232089 8.3181 3.471e-16 ***
idIowa 0.098346 0.377286 0.2607 0.7944122
idKansas 0.800703 0.232657 3.4416 0.0006062 ***
idKentucky 0.902225 0.230447 3.9151 9.750e-05 ***
idLouisiana 0.940935 0.239671 3.9259 9.329e-05 ***
idMaine 0.784769 0.244350 3.2117 0.0013686 **
idMaryland 2.271047 0.233466 9.7275 < 2.2e-16 ***
idMassachusetts 3.786413 0.243857 15.5272 < 2.2e-16 ***
idMichigan 3.317259 0.240074 13.8177 < 2.2e-16 ***
idMinnesota 2.887000 0.237095 12.1765 < 2.2e-16 ***
idMississippi -0.209058 0.254126 -0.8227 0.4109323
idMissouri 1.661872 0.231785 7.1699 1.615e-12 ***
idMontana 0.049370 0.230955 0.2138 0.8307804
idNebraska 0.862260 0.377521 2.2840 0.0226134 *
idNevada 1.815742 0.239831 7.5709 9.531e-14 ***
idNewHampshire 1.798500 0.231854 7.7570 2.452e-14 ***
idNewJersey 2.978251 0.237599 12.5348 < 2.2e-16 ***
idNewMexico 1.935533 0.232200 8.3356 3.027e-16 ***
idNewYork 4.011687 0.246064 16.3034 < 2.2e-16 ***
idNorthCarolina 2.988102 0.237596 12.5764 < 2.2e-16 ***
idNorthDakota -0.181824 0.258853 -0.7024 0.4826056
idOhio 3.324441 0.240305 13.8343 < 2.2e-16 ***
idOklahoma 1.376099 0.230477 5.9707 3.451e-09 ***
idOregon 2.444079 0.234427 10.4258 < 2.2e-16 ***
idPennsylvania 3.386666 0.240652 14.0729 < 2.2e-16 ***
idRhodeIsland 1.925693 0.268778 7.1646 1.674e-12 ***
idSouthCarolina 2.066010 0.250341 8.2528 5.771e-16 ***
idSouthDakota -0.228190 0.258900 -0.8814 0.3783567
idTennessee 1.764967 0.231817 7.6136 6.996e-14 ***
idTexas 3.535682 0.241718 14.6273 < 2.2e-16 ***
idUtah 1.616545 0.231175 6.9927 5.405e-12 ***
idVermont 0.737011 0.244842 3.0102 0.0026873 **
idVirginia 1.496078 0.379694 3.9402 8.799e-05 ***
idWashington 2.878436 0.236827 12.1541 < 2.2e-16 ***
idWestVirginia 0.177580 0.236762 0.7500 0.4534370
idWisconsin 2.649191 0.235350 11.2564 < 2.2e-16 ***
idWyoming 0.352556 0.232440 1.5168 0.1296926
time2001 -2.996700 0.499419 -6.0004 2.896e-09 ***
time2002 -2.824583 0.463551 -6.0934 1.665e-09 ***
time2003 -2.892503 0.401517 -7.2039 1.276e-12 ***
time2004 -2.962454 0.286930 -10.3247 < 2.2e-16 ***
time2005 -2.679745 0.220103 -12.1750 < 2.2e-16 ***
time2006 -1.909146 0.178102 -10.7194 < 2.2e-16 ***
time2007 -1.368130 0.154215 -8.8716 < 2.2e-16 ***
time2008 -1.077149 0.187964 -5.7306 1.383e-08 ***
time2009 -0.341627 0.222091 -1.5382 0.1243595
time2010 -0.244407 0.198897 -1.2288 0.2194759
time2011 -0.077996 0.145904 -0.5346 0.5930867
time2012 0.137050 0.133285 1.0283 0.3041192
time2013 -0.215701 0.176704 -1.2207 0.2225379
time2014 -0.453714 0.214903 -2.1112 0.0350386 *
time2015 0.069528 0.103976 0.6687 0.5038669
time2016 0.068111 0.095061 0.7165 0.4738738
iis4 -1.194503 0.321385 -3.7167 0.0002148 ***
iis10 -1.241798 0.321091 -3.8674 0.0001183 ***
iis17 -1.460328 0.321446 -4.5430 6.336e-06 ***
iis23 0.871269 0.339974 2.5628 0.0105534 *
iis62 -1.885034 0.382873 -4.9234 1.019e-06 ***
iis63 -1.594420 0.380000 -4.1958 3.000e-05 ***
iis64 -1.626769 0.380005 -4.2809 2.070e-05 ***
iis66 -1.805881 0.328147 -5.5033 4.918e-08 ***
iis67 -1.479730 0.328401 -4.5059 7.522e-06 ***
iis68 -1.469739 0.327655 -4.4856 8.254e-06 ***
iis75 -1.553012 0.326972 -4.7497 2.386e-06 ***
iis77 -1.042545 0.327518 -3.1832 0.0015090 **
iis79 -1.617845 0.327888 -4.9341 9.662e-07 ***
iis164 -1.344912 0.335303 -4.0110 6.570e-05 ***
iis168 -1.161611 0.360842 -3.2192 0.0013337 **
iis235 -1.349813 0.328917 -4.1038 4.450e-05 ***
iis236 1.262582 0.330634 3.8187 0.0001438 ***
iis237 -1.215294 0.330841 -3.6733 0.0002542 ***
iis238 -1.498371 0.330353 -4.5357 6.555e-06 ***
iis322 -0.980052 0.319980 -3.0629 0.0022605 **
iis326 -0.923241 0.319890 -2.8861 0.0039976 **
iis331 -1.049045 0.319753 -3.2808 0.0010767 **
iis346 -1.447706 0.318412 -4.5466 6.230e-06 ***
iis379 0.825636 0.339785 2.4299 0.0153072 *
iis384 -1.235789 0.329149 -3.7545 0.0001853 ***
iis390 -1.291813 0.325413 -3.9698 7.794e-05 ***
iis481 1.029056 0.335289 3.0692 0.0022138 **
iis482 1.664551 0.335980 4.9543 8.736e-07 ***
iis483 1.512428 0.337307 4.4838 8.322e-06 ***
iis493 -0.677770 0.326873 -2.0735 0.0384224 *
iis501 -1.429499 0.318588 -4.4870 8.203e-06 ***
iis531 1.031504 0.318324 3.2404 0.0012393 **
iis548 -1.406792 0.342128 -4.1119 4.300e-05 ***
iis550 -1.215360 0.339931 -3.5753 0.0003693 ***
iis578 -0.814970 0.335150 -2.4317 0.0152327 *
iis687 -1.120162 0.325429 -3.4421 0.0006050 ***
iis691 -0.982037 0.324011 -3.0309 0.0025114 **
iis817 0.652858 0.322975 2.0214 0.0435482 *
iis824 1.625295 0.339889 4.7818 2.042e-06 ***
iis826 -0.710780 0.339918 -2.0910 0.0368175 *
iis829 1.019642 0.328870 3.1004 0.0019952 **
iis837 0.648232 0.329459 1.9676 0.0494386 *
iis839 -1.074236 0.379904 -2.8276 0.0047978 **
iis843 -1.224507 0.318358 -3.8463 0.0001287 ***
iis902 -1.062725 0.329134 -3.2289 0.0012899 **
iis973 -0.871061 0.336273 -2.5903 0.0097500 **
iis976 -0.761556 0.334963 -2.2736 0.0232379 *
fesisAlabama.2003 0.999479 0.234823 4.2563 2.306e-05 ***
fesisAlabama.2020 -0.822472 0.322538 -2.5500 0.0109444 *
fesisAlaska.2007 -1.041748 0.183687 -5.6713 1.934e-08 ***
fesisAlaska.2014 0.769432 0.166191 4.6298 4.223e-06 ***
fesisArkansas.2006 -0.570626 0.242976 -2.3485 0.0190747 *
fesisConnecticut.2009 -0.619621 0.142865 -4.3371 1.614e-05 ***
fesisDelaware.2014 -0.835838 0.154493 -5.4102 8.161e-08 ***
fesisDelaware.2020 -1.154875 0.335277 -3.4445 0.0005996 ***
fesisDistrictofColumbia.2008 -0.694550 0.220761 -3.1462 0.0017111 **
fesisDistrictofColumbia.2012 0.991412 0.210622 4.7071 2.927e-06 ***
fesisHawaii.2009 -0.591271 0.155839 -3.7941 0.0001585 ***
fesisIdaho.2002 1.208043 0.318680 3.7908 0.0001606 ***
fesisIowa.2002 1.839494 0.439033 4.1899 3.079e-05 ***
fesisIowa.2003 -0.942205 0.319772 -2.9465 0.0033006 **
fesisKansas.2020 1.004970 0.320089 3.1397 0.0017491 **
fesisLouisiana.2011 -0.829189 0.184787 -4.4873 8.192e-06 ***
fesisLouisiana.2015 0.900718 0.209212 4.3053 1.859e-05 ***
fesisMaine.2010 0.343333 0.148065 2.3188 0.0206395 *
fesisMississippi.2010 -0.412281 0.164606 -2.5047 0.0124408 *
fesisMississippi.2020 1.669431 0.327217 5.1019 4.137e-07 ***
fesisNebraska.2002 -1.338563 0.358413 -3.7347 0.0002003 ***
fesisNebraska.2005 0.882262 0.226795 3.8901 0.0001079 ***
fesisNebraska.2012 0.455331 0.189684 2.4005 0.0165850 *
fesisNebraska.2018 -0.986363 0.335415 -2.9407 0.0033620 **
fesisNebraska.2019 1.397238 0.380204 3.6750 0.0002526 ***
fesisNevada.2012 -0.567551 0.158555 -3.5795 0.0003635 ***
fesisNevada.2019 0.969530 0.253414 3.8259 0.0001397 ***
fesisNorthDakota.2006 1.122952 0.340254 3.3003 0.0010054 **
fesisNorthDakota.2007 -1.006774 0.324425 -3.1033 0.0019764 **
fesisNorthDakota.2020 0.958434 0.324278 2.9556 0.0032057 **
fesisRhodeIsland.2005 -0.865793 0.175075 -4.9453 9.141e-07 ***
fesisSouthCarolina.2008 0.777576 0.149219 5.2110 2.352e-07 ***
fesisSouthDakota.2008 1.044951 0.179016 5.8372 7.512e-09 ***
fesisSouthDakota.2018 -0.556060 0.245793 -2.2623 0.0239261 *
fesisVermont.2010 0.646835 0.210450 3.0736 0.0021817 **
fesisVermont.2013 -0.947193 0.210535 -4.4990 7.764e-06 ***
fesisVirginia.2002 1.145069 0.318663 3.5934 0.0003449 ***
fesisWestVirginia.2013 -0.370516 0.156497 -2.3676 0.0181260 *
fesisWyoming.2017 -1.048488 0.197166 -5.3178 1.339e-07 ***
fesisWyoming.2020 1.991781 0.358521 5.5556 3.688e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.098093 1 0.7541
Ljung-Box ARCH(1) 1.746387 1 0.1863
SE of regression 0.30691
R-squared 0.96091
Log-lik.(n=1020) -163.50330 us_q25
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.05; AR: 1
Date: Thu Mar 30 14:08:41 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 860
Sample: 1 to 860
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.036918 0.027453 1.3448 0.1791021
lgdp 55.202445 3.168572 17.4219 < 2.2e-16 ***
lpop -43.175827 1.932948 -22.3368 < 2.2e-16 ***
lgdp_sq -2.008385 0.189143 -10.6183 < 2.2e-16 ***
avg_temp -0.105989 0.076442 -1.3865 0.1660004
idArizona 2.580060 0.218061 11.8318 < 2.2e-16 ***
idCalifornia 4.809013 0.241289 19.9305 < 2.2e-16 ***
idColorado 2.923662 0.220395 13.2656 < 2.2e-16 ***
idConnecticut 3.570940 0.238943 14.9447 < 2.2e-16 ***
idDelaware 2.443994 0.221736 11.0221 < 2.2e-16 ***
idDistrictofColumbia 0.950862 0.231736 4.1032 4.524e-05 ***
idFlorida 3.014453 0.221074 13.6355 < 2.2e-16 ***
idGeorgia 2.336244 0.216618 10.7851 < 2.2e-16 ***
idHawaii 1.102116 0.224711 4.9046 1.150e-06 ***
idIdaho 1.053320 0.212416 4.9588 8.792e-07 ***
idIllinois 3.030489 0.221430 13.6860 < 2.2e-16 ***
idIndiana 1.887508 0.213996 8.8203 < 2.2e-16 ***
idIowa 0.071556 0.346800 0.2063 0.8365880
idKansas 0.783109 0.214102 3.6576 0.0002725 ***
idKentucky -0.100833 0.347040 -0.2906 0.7714756
idLouisiana 0.932828 0.220475 4.2310 2.617e-05 ***
idMaine 0.963846 0.212536 4.5350 6.712e-06 ***
idMaryland 2.219241 0.215597 10.2935 < 2.2e-16 ***
idMassachusetts 3.694167 0.227762 16.2194 < 2.2e-16 ***
idMichigan 3.237120 0.223334 14.4946 < 2.2e-16 ***
idMinnesota 2.817983 0.219843 12.8182 < 2.2e-16 ***
idMissouri 1.628938 0.213492 7.6300 7.187e-14 ***
idNevada 1.783865 0.221072 8.0692 2.832e-15 ***
idNewHampshire 1.757217 0.213723 8.2219 8.882e-16 ***
idNewJersey 2.907218 0.220433 13.1886 < 2.2e-16 ***
idNewMexico 1.891708 0.214124 8.8346 < 2.2e-16 ***
idNewYork 3.913074 0.230343 16.9880 < 2.2e-16 ***
idNorthCarolina 2.917082 0.220430 13.2336 < 2.2e-16 ***
idOhio 3.243510 0.223604 14.5056 < 2.2e-16 ***
idOklahoma 1.348356 0.212147 6.3558 3.611e-10 ***
idOregon 2.773528 0.291886 9.5021 < 2.2e-16 ***
idPennsylvania 3.304556 0.224011 14.7518 < 2.2e-16 ***
idRhodeIsland 1.997230 0.259779 7.6882 4.721e-14 ***
idSouthCarolina 2.028414 0.230888 8.7853 < 2.2e-16 ***
idSouthDakota -0.205429 0.238314 -0.8620 0.3889581
idTennessee 1.727619 0.213556 8.0898 2.424e-15 ***
idTexas 3.450062 0.225259 15.3160 < 2.2e-16 ***
idUtah 1.633224 0.213383 7.6540 6.046e-14 ***
idVermont 0.291812 0.245428 1.1890 0.2348218
idVirginia 1.425304 0.349782 4.0748 5.099e-05 ***
idWashington 2.810518 0.219530 12.8025 < 2.2e-16 ***
idWisconsin 2.587742 0.217799 11.8813 < 2.2e-16 ***
time2001 -3.028662 0.494552 -6.1241 1.476e-09 ***
time2002 -2.941788 0.458148 -6.4210 2.410e-10 ***
time2003 -2.941720 0.397904 -7.3930 3.866e-13 ***
time2004 -2.998422 0.283581 -10.5734 < 2.2e-16 ***
time2005 -2.708109 0.217311 -12.4619 < 2.2e-16 ***
time2006 -2.030931 0.174932 -11.6099 < 2.2e-16 ***
time2007 -1.504339 0.151385 -9.9371 < 2.2e-16 ***
time2008 -1.103453 0.186972 -5.9017 5.461e-09 ***
time2009 -0.314542 0.221419 -1.4206 0.1558601
time2010 -0.211875 0.198756 -1.0660 0.2867665
time2011 -0.098704 0.144727 -0.6820 0.4954501
time2012 0.089286 0.131688 0.6780 0.4979753
time2013 -0.162958 0.176137 -0.9252 0.3551705
time2014 -0.368080 0.214809 -1.7135 0.0870325 .
time2015 0.061194 0.102842 0.5950 0.5520062
time2016 0.022343 0.093660 0.2386 0.8115165
iis4 -1.232858 0.295795 -4.1679 3.435e-05 ***
iis10 -1.244649 0.295518 -4.2118 2.844e-05 ***
iis17 -1.512481 0.295800 -5.1132 4.031e-07 ***
iis124 -1.400003 0.308637 -4.5361 6.678e-06 ***
iis128 -0.962299 0.353188 -2.7246 0.0065886 **
iis195 -1.363687 0.302654 -4.5058 7.677e-06 ***
iis196 1.287119 0.304737 4.2237 2.701e-05 ***
iis197 -1.284004 0.304926 -4.2109 2.855e-05 ***
iis198 -1.475157 0.304367 -4.8466 1.529e-06 ***
iis201 -1.218348 0.293365 -4.1530 3.661e-05 ***
iis262 1.005852 0.294409 3.4165 0.0006687 ***
iis282 -0.930508 0.294416 -3.1605 0.0016386 **
iis286 -0.876272 0.294309 -2.9774 0.0030014 **
iis291 -1.035634 0.294122 -3.5211 0.0004559 ***
iis306 -1.459150 0.293357 -4.9740 8.149e-07 ***
iis339 0.788137 0.312781 2.5198 0.0119512 *
iis344 -1.443380 0.293712 -4.9143 1.096e-06 ***
iis350 -1.149642 0.293575 -3.9160 9.829e-05 ***
iis441 -1.446875 0.293304 -4.9330 9.992e-07 ***
iis478 -0.821642 0.308381 -2.6644 0.0078801 **
iis622 0.783725 0.350106 2.2385 0.0254806 *
iis704 1.584416 0.312828 5.0648 5.158e-07 ***
iis706 -0.689560 0.312759 -2.2048 0.0277756 *
iis714 0.868268 0.305023 2.8466 0.0045408 **
iis717 0.973697 0.305407 3.1882 0.0014915 **
iis719 -1.317940 0.305446 -4.3148 1.813e-05 ***
iis723 -1.206159 0.292858 -4.1186 4.239e-05 ***
iis779 -1.044691 0.293037 -3.5650 0.0003870 ***
fesisAlabama.2003 0.992479 0.216170 4.5912 5.172e-06 ***
fesisAlabama.2020 -0.828707 0.296966 -2.7906 0.0053959 **
fesisConnecticut.2009 -0.625936 0.131733 -4.7516 2.422e-06 ***
fesisDelaware.2014 -0.845443 0.142484 -5.9336 4.538e-09 ***
fesisDelaware.2020 -1.109472 0.308417 -3.5973 0.0003428 ***
fesisDistrictofColumbia.2008 -0.897686 0.235061 -3.8190 0.0001452 ***
fesisDistrictofColumbia.2011 1.097889 0.225183 4.8755 1.327e-06 ***
fesisHawaii.2009 -0.596704 0.143534 -4.1572 3.596e-05 ***
fesisIowa.2002 0.902776 0.293864 3.0721 0.0022030 **
fesisKansas.2020 1.039805 0.294448 3.5314 0.0004388 ***
fesisKentucky.2002 1.040586 0.293895 3.5407 0.0004239 ***
fesisLouisiana.2011 -0.819949 0.170374 -4.8126 1.804e-06 ***
fesisLouisiana.2015 0.868540 0.192774 4.5055 7.686e-06 ***
fesisNevada.2012 -0.573974 0.146131 -3.9278 9.368e-05 ***
fesisNevada.2019 0.969593 0.233195 4.1579 3.586e-05 ***
fesisOregon.2004 -0.500711 0.215070 -2.3281 0.0201719 *
fesisRhodeIsland.2004 -0.840420 0.181565 -4.6288 4.339e-06 ***
fesisRhodeIsland.2019 -0.764348 0.215509 -3.5467 0.0004145 ***
fesisSouthCarolina.2008 0.792270 0.135583 5.8434 7.643e-09 ***
fesisSouthDakota.2008 1.634486 0.210046 7.7815 2.394e-14 ***
fesisSouthDakota.2011 -0.977298 0.197051 -4.9596 8.754e-07 ***
fesisVermont.2005 0.770514 0.175763 4.3838 1.334e-05 ***
fesisVermont.2013 -0.645222 0.143352 -4.5010 7.847e-06 ***
fesisVirginia.2002 1.156122 0.293350 3.9411 8.874e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.11978 1 0.7293
Ljung-Box ARCH(1) 2.16877 1 0.1408
SE of regression 0.28194
R-squared 0.95575
Log-lik.(n=860) -73.98639 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Thu Mar 30 13:55:59 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0340103 0.0292850 1.1614 0.2458010
lgdp 43.7263263 3.0635825 14.2729 < 2.2e-16 ***
lpop -34.6166241 1.8818116 -18.3954 < 2.2e-16 ***
lgdp_sq -1.5677954 0.1825802 -8.5869 < 2.2e-16 ***
avg_temp -0.0751846 0.0745140 -1.0090 0.3132418
idAlaska -0.5180913 0.1441149 -3.5950 0.0003418 ***
idArizona 1.6678845 0.1086957 15.3445 < 2.2e-16 ***
idArkansas 0.7656132 0.3161752 2.4215 0.0156513 *
idCalifornia 3.8523607 0.1508034 25.5456 < 2.2e-16 ***
idColorado 1.9961434 0.1131794 17.6370 < 2.2e-16 ***
idConnecticut 2.6023154 0.1498965 17.3608 < 2.2e-16 ***
idDelaware 1.5350347 0.1179889 13.0100 < 2.2e-16 ***
idDistrictofColumbia 0.2349892 0.1429508 1.6438 0.1005521
idFlorida 2.0823362 0.1144555 18.1934 < 2.2e-16 ***
idGeorgia 1.4373713 0.1059295 13.5691 < 2.2e-16 ***
idHawaii 0.3487364 0.1283772 2.7165 0.0067224 **
idIdaho 0.2628188 0.0967373 2.7168 0.0067157 **
idIllinois 2.0965592 0.1151018 18.2148 < 2.2e-16 ***
idIndiana 1.0225522 0.1009613 10.1282 < 2.2e-16 ***
idIowa 0.2504755 0.0966991 2.5903 0.0097433 **
idKansas 0.0221685 0.0965109 0.2297 0.8183767
idKentucky 0.1779708 0.0978497 1.8188 0.0692667 .
idLouisiana 0.1248774 0.0965517 1.2934 0.1962092
idMaine 0.1370113 0.0965157 1.4196 0.1560725
idMaryland 1.3247738 0.1039667 12.7423 < 2.2e-16 ***
idMassachusetts 2.7456516 0.1269424 21.6291 < 2.2e-16 ***
idMichigan 2.3006979 0.1187293 19.3777 < 2.2e-16 ***
idMinnesota 1.8942056 0.1120803 16.9004 < 2.2e-16 ***
idMississippi 0.4695245 0.1905292 2.4643 0.0139107 *
idMissouri 0.7867603 0.0999601 7.8707 9.956e-15 ***
idMontana -0.4235795 0.0974812 -4.3452 1.547e-05 ***
idNebraska -0.4476276 0.1201317 -3.7261 0.0002064 ***
idNevada 0.9204212 0.1183915 7.7744 2.040e-14 ***
idNewHampshire 0.9067645 0.1004430 9.0277 < 2.2e-16 ***
idNewJersey 1.9782158 0.1132114 17.4736 < 2.2e-16 ***
idNewMexico 1.0264644 0.1011903 10.1439 < 2.2e-16 ***
idNewYork 2.9616957 0.1316362 22.4991 < 2.2e-16 ***
idNorthCarolina 1.9879208 0.1132110 17.5594 < 2.2e-16 ***
idNorthDakota -0.5278500 0.1000470 -5.2760 1.650e-07 ***
idOhio 2.3052030 0.1192060 19.3380 < 2.2e-16 ***
idOklahoma 0.5502913 0.0976222 5.6369 2.307e-08 ***
idOregon 1.4236463 0.1072424 13.2750 < 2.2e-16 ***
idPennsylvania 2.3660500 0.1199959 19.7178 < 2.2e-16 ***
idRhodeIsland 1.1345451 0.1923538 5.8982 5.171e-09 ***
idSouthCarolina 1.1438466 0.1390617 8.2255 6.654e-16 ***
idSouthDakota -0.5409167 0.1358824 -3.9808 7.415e-05 ***
idTennessee 0.8876437 0.1006149 8.8222 < 2.2e-16 ***
idTexas 2.5064488 0.1223233 20.4904 < 2.2e-16 ***
idUtah 0.7645975 0.0990958 7.7157 3.146e-14 ***
idVermont -0.0054305 0.0965073 -0.0563 0.9551389
idVirginia 1.6673294 0.1090390 15.2911 < 2.2e-16 ***
idWashington 1.8852291 0.1114953 16.9086 < 2.2e-16 ***
idWestVirginia -0.5391754 0.0980373 -5.4997 4.940e-08 ***
idWisconsin 1.6728844 0.1082008 15.4609 < 2.2e-16 ***
idWyoming -0.2520479 0.1027182 -2.4538 0.0143222 *
time2001 -2.3509494 0.4778964 -4.9194 1.030e-06 ***
time2002 -2.2738431 0.4427120 -5.1362 3.428e-07 ***
time2003 -2.2273932 0.3847175 -5.7897 9.693e-09 ***
time2004 -2.3457877 0.2740976 -8.5582 < 2.2e-16 ***
time2005 -2.0881419 0.2106976 -9.9106 < 2.2e-16 ***
time2006 -1.5246372 0.1692602 -9.0077 < 2.2e-16 ***
time2007 -1.0668421 0.1468762 -7.2635 8.078e-13 ***
time2008 -0.7417974 0.1817142 -4.0822 4.852e-05 ***
time2009 -0.0889422 0.2145442 -0.4146 0.6785589
time2010 -0.0536982 0.1926270 -0.2788 0.7804861
time2011 0.0484313 0.1401105 0.3457 0.7296743
time2012 0.1694147 0.1274143 1.3296 0.1839701
time2013 -0.0517685 0.1716581 -0.3016 0.7630417
time2014 -0.2013221 0.2091030 -0.9628 0.3359082
time2015 0.1101253 0.1002264 1.0988 0.2721600
time2016 0.0468470 0.0911468 0.5140 0.6073954
iis75 -1.1018357 0.3233891 -3.4072 0.0006851 ***
iis79 -1.1945972 0.3239976 -3.6871 0.0002402 ***
iis164 -1.0034540 0.3330403 -3.0130 0.0026581 **
iis235 -0.9994070 0.3270031 -3.0563 0.0023064 **
iis236 1.0796831 0.3280770 3.2909 0.0010368 **
iis237 -0.8910575 0.3284684 -2.7128 0.0067980 **
iis238 -1.0805123 0.3278157 -3.2961 0.0010182 **
iis346 -1.0882917 0.3163121 -3.4406 0.0006068 ***
iis501 -1.0199667 0.3164537 -3.2231 0.0013130 **
iis548 -0.8616768 0.3246750 -2.6540 0.0080935 **
iis687 -0.9487554 0.3173544 -2.9896 0.0028686 **
iis742 1.1691074 0.3163359 3.6958 0.0002323 ***
iis829 0.8692623 0.3219698 2.6998 0.0070659 **
iis839 -1.2304399 0.3221306 -3.8197 0.0001427 ***
iis843 -0.9689278 0.3163398 -3.0629 0.0022561 **
iis921 -0.9847208 0.3165578 -3.1107 0.0019243 **
fesisAlaska.2007 -0.9936783 0.1732300 -5.7362 1.316e-08 ***
fesisAlaska.2014 0.6697021 0.1651291 4.0556 5.427e-05 ***
fesisArkansas.2002 -1.1838989 0.3447750 -3.4338 0.0006219 ***
fesisArkansas.2006 -0.7004627 0.2356400 -2.9726 0.0030305 **
fesisArkansas.2009 1.1341634 0.2032342 5.5806 3.160e-08 ***
fesisConnecticut.2009 -0.5741430 0.1417775 -4.0496 5.566e-05 ***
fesisDelaware.2014 -0.8734564 0.1459138 -5.9861 3.086e-09 ***
fesisDistrictofColumbia.2008 -0.8314279 0.1995239 -4.1671 3.379e-05 ***
fesisDistrictofColumbia.2012 1.0482009 0.1871571 5.6006 2.826e-08 ***
fesisHawaii.2009 -0.4996759 0.1547244 -3.2295 0.0012845 **
fesisMississippi.2004 -1.3722089 0.1961342 -6.9963 5.083e-12 ***
fesisMississippi.2020 1.3141438 0.3178669 4.1343 3.889e-05 ***
fesisNebraska.2012 0.5777925 0.1430648 4.0387 5.827e-05 ***
fesisNevada.2012 -0.5760822 0.1498992 -3.8431 0.0001299 ***
fesisNevada.2019 0.9001138 0.2472292 3.6408 0.0002871 ***
fesisRhodeIsland.2004 -0.8194007 0.1938512 -4.2270 2.607e-05 ***
fesisSouthCarolina.2008 0.7655921 0.1464035 5.2293 2.110e-07 ***
fesisSouthDakota.2008 0.6115876 0.1502517 4.0704 5.099e-05 ***
fesisWyoming.2017 -0.7676446 0.1953669 -3.9292 9.164e-05 ***
fesisWyoming.2020 1.5977885 0.3561357 4.4865 8.165e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.4264963 1 0.5137
Ljung-Box ARCH(1) 0.0013378 1 0.9708
SE of regression 0.30518
R-squared 0.94634
Log-lik.(n=1020) -183.21348 us_q25
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.01; AR: 1
Date: Thu Mar 30 13:59:59 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 860
Sample: 1 to 860
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.048150 0.030664 1.5703 0.1167678
lgdp 50.381818 2.996471 16.8137 < 2.2e-16 ***
lpop -38.542994 1.815101 -21.2346 < 2.2e-16 ***
lgdp_sq -1.874005 0.179764 -10.4248 < 2.2e-16 ***
avg_temp -0.109261 0.072409 -1.5089 0.1317241
idArizona 1.597192 0.101880 15.6772 < 2.2e-16 ***
idCalifornia 3.749866 0.149729 25.0444 < 2.2e-16 ***
idColorado 1.921050 0.107137 17.9307 < 2.2e-16 ***
idConnecticut 2.536803 0.141661 17.9075 < 2.2e-16 ***
idDelaware 1.468022 0.109258 13.4363 < 2.2e-16 ***
idDistrictofColumbia 0.210729 0.128230 1.6434 0.1007184
idFlorida 2.006081 0.108623 18.4682 < 2.2e-16 ***
idGeorgia 1.369739 0.098605 13.8912 < 2.2e-16 ***
idHawaii 0.318694 0.115369 2.7624 0.0058755 **
idIdaho 0.213042 0.087449 2.4362 0.0150696 *
idIllinois 2.019727 0.109374 18.4662 < 2.2e-16 ***
idIndiana 0.961687 0.092647 10.3802 < 2.2e-16 ***
idIowa 0.155357 0.088602 1.7534 0.0799299 .
idKansas -0.076993 0.088271 -0.8722 0.3833524
idKentucky 0.127760 0.088358 1.4459 0.1486045
idLouisiana 0.168785 0.106967 1.5779 0.1149974
idMaine 0.190311 0.089540 2.1254 0.0338693 *
idMaryland 1.259557 0.096264 13.0844 < 2.2e-16 ***
idMassachusetts 2.659289 0.122974 21.6248 < 2.2e-16 ***
idMichigan 2.220761 0.113572 19.5538 < 2.2e-16 ***
idMinnesota 1.820142 0.105854 17.1949 < 2.2e-16 ***
idMissouri 0.728479 0.090975 8.0075 4.345e-15 ***
idNevada 0.869089 0.107826 8.0601 2.924e-15 ***
idNewHampshire 0.846775 0.092018 9.2023 < 2.2e-16 ***
idNewJersey 1.903093 0.107175 17.7570 < 2.2e-16 ***
idNewMexico 0.965227 0.092924 10.3873 < 2.2e-16 ***
idNewYork 2.871926 0.128295 22.3853 < 2.2e-16 ***
idNorthCarolina 1.912798 0.107174 17.8476 < 2.2e-16 ***
idOhio 2.224872 0.114121 19.4957 < 2.2e-16 ***
idOklahoma 0.496638 0.088561 5.6079 2.861e-08 ***
idOregon 2.035442 0.181539 11.2122 < 2.2e-16 ***
idPennsylvania 2.285074 0.115030 19.8650 < 2.2e-16 ***
idRhodeIsland 1.094254 0.173082 6.3222 4.378e-10 ***
idSouthCarolina 1.099353 0.126571 8.6856 < 2.2e-16 ***
idSouthDakota -0.747299 0.129321 -5.7786 1.096e-08 ***
idTennessee 0.828207 0.091794 9.0224 < 2.2e-16 ***
idTexas 2.423613 0.117702 20.5911 < 2.2e-16 ***
idUtah 0.707186 0.090376 7.8249 1.687e-14 ***
idVermont -0.051661 0.087132 -0.5929 0.5534218
idVirginia 1.595756 0.101864 15.6656 < 2.2e-16 ***
idWashington 1.811725 0.105169 17.2267 < 2.2e-16 ***
idWisconsin 1.602716 0.101296 15.8221 < 2.2e-16 ***
time2001 -2.997513 0.469395 -6.3859 2.953e-10 ***
time2002 -2.838060 0.435738 -6.5132 1.331e-10 ***
time2003 -2.815543 0.376819 -7.4719 2.161e-13 ***
time2004 -2.815199 0.268750 -10.4752 < 2.2e-16 ***
time2005 -2.479312 0.205686 -12.0539 < 2.2e-16 ***
time2006 -1.875591 0.166120 -11.2906 < 2.2e-16 ***
time2007 -1.369228 0.144218 -9.4942 < 2.2e-16 ***
time2008 -1.045792 0.175990 -5.9423 4.264e-09 ***
time2009 -0.354983 0.208458 -1.7029 0.0889925 .
time2010 -0.268915 0.186562 -1.4414 0.1498746
time2011 -0.140947 0.136929 -1.0293 0.3036440
time2012 0.069034 0.126311 0.5465 0.5848530
time2013 -0.189504 0.165645 -1.1440 0.2529638
time2014 -0.390724 0.201671 -1.9374 0.0530601 .
time2015 0.032707 0.098461 0.3322 0.7398418
time2016 0.018261 0.090175 0.2025 0.8395789
iis17 -0.930854 0.282595 -3.2940 0.0010333 **
iis124 -1.027710 0.297476 -3.4548 0.0005811 ***
iis195 -1.014854 0.291837 -3.4775 0.0005347 ***
iis196 1.074181 0.293242 3.6631 0.0002663 ***
iis197 -0.942726 0.293946 -3.2071 0.0013963 **
iis198 -1.096705 0.292896 -3.7443 0.0001944 ***
iis262 0.912398 0.282833 3.2259 0.0013090 **
iis306 -1.045654 0.282334 -3.7036 0.0002278 ***
iis344 -1.031485 0.282994 -3.6449 0.0002856 ***
iis350 -0.979129 0.282926 -3.4607 0.0005685 ***
iis441 -0.985085 0.282460 -3.4875 0.0005153 ***
iis704 1.307053 0.297343 4.3958 1.260e-05 ***
iis714 0.799416 0.291828 2.7393 0.0062994 **
iis717 0.908078 0.292103 3.1088 0.0019483 **
iis723 -0.938517 0.282374 -3.3237 0.0009307 ***
iis801 -0.945908 0.282533 -3.3480 0.0008539 ***
fesisConnecticut.2009 -0.597462 0.127036 -4.7031 3.039e-06 ***
fesisDelaware.2014 -0.868247 0.130801 -6.6379 6.022e-11 ***
fesisDistrictofColumbia.2008 -1.038788 0.195144 -5.3232 1.341e-07 ***
fesisDistrictofColumbia.2011 1.168696 0.182643 6.3988 2.726e-10 ***
fesisHawaii.2009 -0.516934 0.138393 -3.7353 0.0002014 ***
fesisKansas.2020 1.062604 0.282395 3.7628 0.0001808 ***
fesisLouisiana.2011 -0.700357 0.164303 -4.2626 2.273e-05 ***
fesisLouisiana.2015 0.860934 0.178887 4.8127 1.794e-06 ***
fesisNevada.2012 -0.607927 0.134177 -4.5308 6.814e-06 ***
fesisNevada.2019 0.986200 0.220642 4.4697 9.017e-06 ***
fesisOregon.2004 -0.730791 0.173500 -4.2120 2.832e-05 ***
fesisRhodeIsland.2004 -0.834461 0.173413 -4.8120 1.800e-06 ***
fesisSouthCarolina.2008 0.726480 0.131002 5.5456 4.035e-08 ***
fesisSouthDakota.2008 1.289298 0.195636 6.5903 8.165e-11 ***
fesisSouthDakota.2011 -0.892708 0.186407 -4.7890 2.012e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.4876712 1 0.4850
Ljung-Box ARCH(1) 0.0056268 1 0.9402
SE of regression 0.27189
R-squared 0.94729
Log-lik.(n=860) -53.25992 0.05
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Thu Mar 30 13:55:37 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0142064 0.0275714 0.5153 0.6065031
lgdp 45.4762662 2.8330892 16.0518 < 2.2e-16 ***
lpop -34.8991182 1.7332293 -20.1353 < 2.2e-16 ***
lgdp_sq -1.6765453 0.1689815 -9.9215 < 2.2e-16 ***
avg_temp -0.1171333 0.0680490 -1.7213 0.0855488 .
idAlaska -0.6360663 0.1406455 -4.5225 6.956e-06 ***
idArizona 1.6926609 0.1027904 16.4671 < 2.2e-16 ***
idArkansas 0.7319626 0.2828212 2.5881 0.0098118 **
idCalifornia 3.9216787 0.1425169 27.5173 < 2.2e-16 ***
idColorado 2.0270836 0.1070324 18.9390 < 2.2e-16 ***
idConnecticut 2.6561453 0.1391969 19.0819 < 2.2e-16 ***
idDelaware 1.5572386 0.1102846 14.1202 < 2.2e-16 ***
idDistrictofColumbia 0.2371182 0.1305958 1.8157 0.0697647 .
idFlorida 2.1149043 0.1082385 19.5393 < 2.2e-16 ***
idGeorgia 1.4578627 0.1001693 14.5540 < 2.2e-16 ***
idHawaii 0.3528882 0.1180609 2.9890 0.0028771 **
idIdaho -0.5205351 0.2824725 -1.8428 0.0656998 .
idIllinois 2.1299347 0.1088493 19.5677 < 2.2e-16 ***
idIndiana 1.0335661 0.0954468 10.8287 < 2.2e-16 ***
idIowa -0.3374395 0.2824575 -1.1947 0.2325461
idKansas 0.0071362 0.0933441 0.0765 0.9390784
idKentucky 0.1700069 0.0922854 1.8422 0.0657870 .
idLouisiana 0.2141295 0.1098983 1.9484 0.0516832 .
idMaine 0.2266892 0.0934303 2.4263 0.0154556 *
idMaryland 1.3418822 0.0983065 13.6500 < 2.2e-16 ***
idMassachusetts 2.7923749 0.1200267 23.2646 < 2.2e-16 ***
idMichigan 2.3384225 0.1122758 20.8275 < 2.2e-16 ***
idMinnesota 1.9237041 0.1059931 18.1493 < 2.2e-16 ***
idMississippi 0.4714723 0.1721045 2.7395 0.0062796 **
idMissouri 0.7924166 0.0943493 8.3988 < 2.2e-16 ***
idMontana -0.4101271 0.0931977 -4.4006 1.213e-05 ***
idNebraska -0.3197774 0.1191021 -2.6849 0.0073927 **
idNevada 0.9370904 0.1099992 8.5191 < 2.2e-16 ***
idNewHampshire 0.9165509 0.0949521 9.6528 < 2.2e-16 ***
idNewJersey 2.0091974 0.1070626 18.7666 < 2.2e-16 ***
idNewMexico 1.0379993 0.0956652 10.8503 < 2.2e-16 ***
idNewYork 3.0131910 0.1244533 24.2114 < 2.2e-16 ***
idNorthCarolina 2.0189019 0.1070623 18.8573 < 2.2e-16 ***
idNorthDakota -0.5933094 0.1406959 -4.2170 2.734e-05 ***
idOhio 2.3434788 0.1127260 20.7892 < 2.2e-16 ***
idOklahoma 0.5512035 0.0922432 5.9755 3.337e-09 ***
idOregon 1.8756612 0.2142395 8.7550 < 2.2e-16 ***
idPennsylvania 2.4052302 0.1134717 21.1967 < 2.2e-16 ***
idRhodeIsland 1.1527243 0.1740107 6.6244 6.090e-11 ***
idSouthCarolina 1.1707384 0.1279074 9.1530 < 2.2e-16 ***
idSouthDakota -0.7389781 0.1314938 -5.6199 2.571e-08 ***
idTennessee 0.8937178 0.0949772 9.4098 < 2.2e-16 ***
idTexas 2.5482327 0.1156686 22.0305 < 2.2e-16 ***
idUtah 0.7707740 0.0936632 8.2292 6.820e-16 ***
idVermont -0.0280691 0.1134343 -0.2474 0.8046200
idVirginia 1.6916023 0.1029898 16.4249 < 2.2e-16 ***
idWashington 1.9139437 0.1054398 18.1520 < 2.2e-16 ***
idWestVirginia -0.3913969 0.1043218 -3.7518 0.0001871 ***
idWisconsin 1.6969272 0.1023218 16.5842 < 2.2e-16 ***
idWyoming -0.2667085 0.0961038 -2.7752 0.0056345 **
time2001 -2.6685160 0.4403128 -6.0605 2.017e-09 ***
time2002 -2.5829034 0.4085195 -6.3226 4.100e-10 ***
time2003 -2.5377536 0.3537105 -7.1747 1.548e-12 ***
time2004 -2.5676566 0.2523099 -10.1766 < 2.2e-16 ***
time2005 -2.2597329 0.1934234 -11.6828 < 2.2e-16 ***
time2006 -1.6534965 0.1563605 -10.5749 < 2.2e-16 ***
time2007 -1.1657045 0.1356445 -8.5938 < 2.2e-16 ***
time2008 -0.8881006 0.1655882 -5.3633 1.047e-07 ***
time2009 -0.2836173 0.1957586 -1.4488 0.1477493
time2010 -0.2149167 0.1754113 -1.2252 0.2208245
time2011 -0.0243147 0.1286032 -0.1891 0.8500836
time2012 0.1381183 0.1178826 1.1717 0.2416535
time2013 -0.1365243 0.1560648 -0.8748 0.3819275
time2014 -0.3575761 0.1898236 -1.8837 0.0599339 .
time2015 0.0639017 0.0918337 0.6958 0.4867135
time2016 0.0440108 0.0837785 0.5253 0.5994917
iis19 0.8429755 0.3358763 2.5098 0.0122606 *
iis23 0.6547980 0.3004510 2.1794 0.0295698 *
iis66 -1.3545132 0.2898907 -4.6725 3.445e-06 ***
iis67 -1.1056380 0.2900202 -3.8123 0.0001474 ***
iis68 -1.1241548 0.2894683 -3.8835 0.0001107 ***
iis75 -1.1705698 0.2890080 -4.0503 5.570e-05 ***
iis77 -0.7611034 0.2894520 -2.6295 0.0087024 **
iis79 -1.2093311 0.2897269 -4.1740 3.292e-05 ***
iis164 -0.9945085 0.2962174 -3.3574 0.0008209 ***
iis168 -0.8367098 0.3187966 -2.6246 0.0088270 **
iis235 -1.0009331 0.2907491 -3.4426 0.0006035 ***
iis236 1.0602884 0.2918464 3.6330 0.0002965 ***
iis237 -0.8746018 0.2924569 -2.9905 0.0028631 **
iis238 -1.1070224 0.2917033 -3.7950 0.0001578 ***
iis331 -0.8221422 0.2816705 -2.9188 0.0036040 **
iis346 -1.0669132 0.2813273 -3.7924 0.0001595 ***
iis379 0.6860894 0.3003414 2.2844 0.0225893 *
iis384 -1.0256127 0.2818531 -3.6388 0.0002900 ***
iis390 -0.9295938 0.2818830 -3.2978 0.0010138 **
iis493 -0.5739980 0.2889381 -1.9866 0.0472815 *
iis501 -1.0340557 0.2815395 -3.6729 0.0002544 ***
iis532 -0.6360743 0.2820027 -2.2556 0.0243450 *
iis543 -0.5792785 0.2908451 -1.9917 0.0467143 *
iis548 -0.9970587 0.2921446 -3.4129 0.0006723 ***
iis550 -0.8392576 0.2908544 -2.8855 0.0040043 **
iis578 -0.6215469 0.2962834 -2.0978 0.0362087 *
iis687 -0.8675048 0.2875018 -3.0174 0.0026236 **
iis691 -0.7893330 0.2863381 -2.7566 0.0059615 **
iis742 0.7632657 0.3362041 2.2702 0.0234357 *
iis817 0.6745806 0.2865013 2.3545 0.0187659 *
iis818 0.6399595 0.2869796 2.2300 0.0260022 *
iis824 1.3312169 0.2961178 4.4956 7.874e-06 ***
iis829 1.0748760 0.2960428 3.6308 0.0002990 ***
iis830 0.8802536 0.2972176 2.9616 0.0031429 **
iis834 0.6149207 0.2960124 2.0773 0.0380613 *
iis837 0.7400137 0.2964074 2.4966 0.0127220 *
iis843 -0.9527531 0.2813988 -3.3858 0.0007415 ***
iis921 -1.0043151 0.2816251 -3.5661 0.0003820 ***
iis973 -0.6451421 0.2939433 -2.1948 0.0284418 *
fesisAlabama.2017 -0.8542641 0.2828996 -3.0197 0.0026041 **
fesisAlabama.2018 0.7977194 0.3360400 2.3739 0.0178176 *
fesisAlaska.2007 -0.9224536 0.1624429 -5.6786 1.849e-08 ***
fesisAlaska.2014 0.6842213 0.1469388 4.6565 3.716e-06 ***
fesisArkansas.2002 -1.1503231 0.3066590 -3.7511 0.0001876 ***
fesisArkansas.2006 0.4820965 0.1650200 2.9214 0.0035739 **
fesisConnecticut.2009 -0.6019968 0.1263936 -4.7629 2.234e-06 ***
fesisDelaware.2014 -0.7732195 0.1367660 -5.6536 2.128e-08 ***
fesisDelaware.2020 -0.8043484 0.2963005 -2.7146 0.0067658 **
fesisDistrictofColumbia.2008 -0.6476123 0.1952276 -3.3172 0.0009468 ***
fesisDistrictofColumbia.2012 0.8531177 0.1858937 4.5893 5.100e-06 ***
fesisHawaii.2009 -0.5230715 0.1378057 -3.7957 0.0001574 ***
fesisIdaho.2002 0.8198288 0.2815590 2.9117 0.0036856 **
fesisIowa.2002 1.4589331 0.3879040 3.7611 0.0001805 ***
fesisIowa.2003 -0.8921974 0.2822084 -3.1615 0.0016238 **
fesisKansas.2020 0.9275503 0.2819530 3.2897 0.0010430 **
fesisLouisiana.2011 -0.7243172 0.1634276 -4.4320 1.052e-05 ***
fesisLouisiana.2015 0.7719463 0.1849459 4.1739 3.294e-05 ***
fesisMississippi.2004 -1.1676822 0.1947663 -5.9953 2.970e-09 ***
fesisMississippi.2010 -0.3180443 0.1454499 -2.1866 0.0290347 *
fesisMississippi.2020 1.4003182 0.2891629 4.8427 1.515e-06 ***
fesisNebraska.2012 0.4327658 0.1345522 3.2163 0.0013461 **
fesisNevada.2012 -0.5195463 0.1402185 -3.7053 0.0002245 ***
fesisNevada.2019 0.8465380 0.2239613 3.7798 0.0001676 ***
fesisNorthDakota.2006 0.7979092 0.3005943 2.6544 0.0080886 **
fesisNorthDakota.2007 -0.8054294 0.2865599 -2.8107 0.0050543 **
fesisNorthDakota.2020 0.8756288 0.2865472 3.0558 0.0023129 **
fesisOregon.2004 -0.4834731 0.2063511 -2.3430 0.0193549 *
fesisRhodeIsland.2004 -0.8406381 0.1726012 -4.8704 1.322e-06 ***
fesisSouthCarolina.2008 0.6595474 0.1341240 4.9174 1.048e-06 ***
fesisSouthDakota.2008 0.6130910 0.1593013 3.8486 0.0001274 ***
fesisSouthDakota.2018 -0.4428768 0.1941681 -2.2809 0.0227949 *
fesisVermont.2010 0.5556208 0.1830882 3.0347 0.0024790 **
fesisVermont.2013 -0.7310920 0.1860829 -3.9289 9.209e-05 ***
fesisWestVirginia.2013 -0.3406067 0.1316382 -2.5874 0.0098296 **
fesisWyoming.2017 -0.7785183 0.1740541 -4.4729 8.737e-06 ***
fesisWyoming.2020 1.6053993 0.3168407 5.0669 4.936e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0015689 1 0.9684
Ljung-Box ARCH(1) 0.1172142 1 0.7321
SE of regression 0.27130
R-squared 0.95945
Log-lik.(n=1020) -43.20138 us_q25
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.05; AR: 1
Date: Thu Mar 30 13:59:55 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 860
Sample: 1 to 860
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0349214 0.0287736 1.2137 0.2252642
lgdp 47.5066364 2.7642437 17.1861 < 2.2e-16 ***
lpop -37.7705401 1.6736542 -22.5677 < 2.2e-16 ***
lgdp_sq -1.7071350 0.1656425 -10.3061 < 2.2e-16 ***
avg_temp -0.0491806 0.0677436 -0.7260 0.4680797
idArizona 1.4082364 0.1005593 14.0040 < 2.2e-16 ***
idCalifornia 3.5906635 0.1451917 24.7305 < 2.2e-16 ***
idColorado 1.7362117 0.1055019 16.4567 < 2.2e-16 ***
idConnecticut 2.3583386 0.1359096 17.3523 < 2.2e-16 ***
idDelaware 1.2792769 0.1065460 12.0068 < 2.2e-16 ***
idDistrictofColumbia -0.0043637 0.1208177 -0.0361 0.9711978
idFlorida 1.8223297 0.1068944 17.0479 < 2.2e-16 ***
idGeorgia 1.1779204 0.0974610 12.0861 < 2.2e-16 ***
idHawaii 0.3174875 0.1413539 2.2460 0.0249953 *
idIdaho -0.7320769 0.2574897 -2.8431 0.0045904 **
idIllinois 1.8365156 0.1075976 17.0684 < 2.2e-16 ***
idIndiana 0.7635373 0.0917443 8.3224 4.144e-16 ***
idIowa -0.5478526 0.2574475 -2.1280 0.0336656 *
idKansas -0.1752352 0.0902118 -1.9425 0.0524573 .
idKentucky -0.0808486 0.0870484 -0.9288 0.3533076
idLouisiana -0.0387634 0.1028769 -0.3768 0.7064346
idMaine -0.0212876 0.0878377 -0.2424 0.8085754
idMaryland 1.0654785 0.0952315 11.1883 < 2.2e-16 ***
idMassachusetts 2.4849939 0.1202905 20.6583 < 2.2e-16 ***
idMichigan 2.0404541 0.1115218 18.2965 < 2.2e-16 ***
idMinnesota 1.6343403 0.1042979 15.6699 < 2.2e-16 ***
idMissouri 0.5266584 0.0899238 5.8567 7.099e-09 ***
idNevada 0.6716411 0.1044465 6.4305 2.281e-10 ***
idNewHampshire 0.6478060 0.0911299 7.1086 2.765e-12 ***
idNewJersey 1.7182823 0.1055369 16.2813 < 2.2e-16 ***
idNewMexico 0.7674255 0.0920142 8.3403 3.611e-16 ***
idNewYork 3.0957505 0.1731312 17.8809 < 2.2e-16 ***
idNorthCarolina 1.7279873 0.1055365 16.3734 < 2.2e-16 ***
idOhio 2.0449339 0.1120349 18.2527 < 2.2e-16 ***
idOklahoma 0.2917411 0.0876451 3.3287 0.0009158 ***
idOregon 1.6183498 0.1994162 8.1154 2.015e-15 ***
idPennsylvania 2.1057394 0.1128837 18.6541 < 2.2e-16 ***
idRhodeIsland 0.8958738 0.1610529 5.5626 3.715e-08 ***
idSouthCarolina 0.9020965 0.1207260 7.4723 2.228e-13 ***
idSouthDakota -0.8690422 0.1297695 -6.6968 4.214e-11 ***
idTennessee 0.6261176 0.0907423 6.9000 1.118e-11 ***
idTexas 2.2460183 0.1153765 19.4669 < 2.2e-16 ***
idUtah 0.5503750 0.0903776 6.0897 1.817e-09 ***
idVermont -0.1930644 0.1095292 -1.7627 0.0783679 .
idVirginia 1.4063711 0.1004399 14.0021 < 2.2e-16 ***
idWashington 1.6253998 0.1036552 15.6808 < 2.2e-16 ***
idWisconsin 1.4132700 0.1000082 14.1315 < 2.2e-16 ***
time2001 -2.5325059 0.4328311 -5.8510 7.336e-09 ***
time2002 -2.4301519 0.4015891 -6.0513 2.281e-09 ***
time2003 -2.4246151 0.3477952 -6.9714 6.958e-12 ***
time2004 -2.5260542 0.2480841 -10.1822 < 2.2e-16 ***
time2005 -2.2476711 0.1901655 -11.8195 < 2.2e-16 ***
time2006 -1.6868433 0.1531524 -11.0141 < 2.2e-16 ***
time2007 -1.2399096 0.1325860 -9.3517 < 2.2e-16 ***
time2008 -0.8081995 0.1638604 -4.9322 1.004e-06 ***
time2009 -0.1121420 0.1932430 -0.5803 0.5618783
time2010 -0.0233793 0.1737535 -0.1346 0.8930007
time2011 0.0176574 0.1266905 0.1394 0.8891922
time2012 0.1264023 0.1159518 1.0901 0.2760116
time2013 0.0247746 0.1551251 0.1597 0.8731553
time2014 -0.1326702 0.1887564 -0.7029 0.4823613
time2015 0.1011938 0.0902419 1.1214 0.2624978
time2016 0.0256526 0.0825972 0.3106 0.7562112
iis2 -0.8854658 0.2578510 -3.4340 0.0006278 ***
iis4 -0.8496240 0.2579189 -3.2942 0.0010342 **
iis10 -1.0378375 0.2576745 -4.0277 6.214e-05 ***
iis13 -0.7535883 0.2580373 -2.9205 0.0036014 **
iis17 -1.1241135 0.2579215 -4.3584 1.496e-05 ***
iis124 -1.0126709 0.2690411 -3.7640 0.0001805 ***
iis128 -0.6769694 0.3076641 -2.2004 0.0280902 *
iis138 0.5282001 0.2627541 2.0102 0.0447677 *
iis195 -1.0005419 0.2638264 -3.7924 0.0001614 ***
iis196 1.0752858 0.2652155 4.0544 5.559e-05 ***
iis197 -0.9087822 0.2659456 -3.4172 0.0006673 ***
iis198 -1.0809454 0.2650684 -4.0780 5.035e-05 ***
iis262 0.8637161 0.2564243 3.3683 0.0007955 ***
iis282 -0.6095332 0.2567820 -2.3737 0.0178634 *
iis286 -0.6743274 0.2565735 -2.6282 0.0087617 **
iis291 -0.8546658 0.2564196 -3.3331 0.0009016 ***
iis306 -1.0757248 0.2553960 -4.2120 2.843e-05 ***
iis344 -1.0266985 0.2559292 -4.0117 6.642e-05 ***
iis350 -0.9700523 0.2559610 -3.7898 0.0001630 ***
iis441 -0.9926507 0.2555706 -3.8841 0.0001119 ***
iis478 -0.6151065 0.2689941 -2.2867 0.0224954 *
iis622 0.6984264 0.3054322 2.2867 0.0224960 *
iis697 0.6598034 0.2600207 2.5375 0.0113688 *
iis698 0.6341506 0.2606811 2.4327 0.0152240 *
iis704 1.2181777 0.2727095 4.4669 9.174e-06 ***
iis706 -0.6023497 0.2726447 -2.2093 0.0274604 *
iis709 1.0195445 0.2622529 3.8876 0.0001103 ***
iis710 0.7859279 0.2639740 2.9773 0.0030030 **
iis717 0.6867894 0.2624762 2.6166 0.0090628 **
iis719 -1.1161850 0.2623762 -4.2541 2.368e-05 ***
iis723 -0.9149032 0.2553118 -3.5835 0.0003613 ***
iis779 -0.8913992 0.2553773 -3.4905 0.0005107 ***
iis782 -0.7138460 0.2641560 -2.7024 0.0070426 **
iis801 -0.9571515 0.2556327 -3.7442 0.0001950 ***
fesisAlabama.2020 -0.5112122 0.2587650 -1.9756 0.0485730 *
fesisConnecticut.2009 -0.6012081 0.1150525 -5.2255 2.261e-07 ***
fesisDelaware.2014 -0.8835584 0.1184771 -7.4576 2.471e-13 ***
fesisDistrictofColumbia.2008 -0.8093555 0.2050207 -3.9477 8.644e-05 ***
fesisDistrictofColumbia.2011 0.8928709 0.1979776 4.5100 7.538e-06 ***
fesisHawaii.2005 -0.6336003 0.1902849 -3.3297 0.0009123 ***
fesisHawaii.2008 0.8508617 0.2872940 2.9616 0.0031580 **
fesisHawaii.2009 -0.9525569 0.2641386 -3.6063 0.0003315 ***
fesisIdaho.2002 0.7753635 0.2555725 3.0338 0.0024992 **
fesisIowa.2002 0.5230103 0.2559637 2.0433 0.0413766 *
fesisKansas.2020 0.9254180 0.2565929 3.6066 0.0003311 ***
fesisLouisiana.2011 -0.7074510 0.1487030 -4.7575 2.357e-06 ***
fesisLouisiana.2015 0.8639365 0.1618297 5.3386 1.247e-07 ***
fesisNevada.2012 -0.5191356 0.1275162 -4.0711 5.182e-05 ***
fesisNevada.2019 0.8515149 0.2032366 4.1898 3.129e-05 ***
fesisNewYork.2005 -0.4936650 0.1398930 -3.5289 0.0004431 ***
fesisOregon.2004 -0.5066273 0.1877314 -2.6987 0.0071202 **
fesisRhodeIsland.2004 -0.7837781 0.1584164 -4.9476 9.308e-07 ***
fesisRhodeIsland.2019 -0.5012195 0.1877715 -2.6693 0.0077674 **
fesisSouthCarolina.2008 0.6385987 0.1219460 5.2367 2.132e-07 ***
fesisSouthDakota.2008 0.5386327 0.1397387 3.8546 0.0001260 ***
fesisVermont.2010 0.4699610 0.1687406 2.7851 0.0054878 **
fesisVermont.2013 -0.7330607 0.1689421 -4.3391 1.629e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.011377 1 0.9151
Ljung-Box ARCH(1) 0.165674 1 0.6840
SE of regression 0.24578
R-squared 0.95839
Log-lik.(n=860) 46.56933 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Thu Mar 30 13:46:32 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 6.0292e-01 2.4855e-02 24.2579 < 2.2e-16 ***
lgdp 4.3358e+02 5.5343e+01 7.8344 1.297e-14 ***
lpop -3.1823e+02 3.4082e+01 -9.3369 < 2.2e-16 ***
lgdp_sq -1.7238e+01 3.3042e+00 -5.2169 2.249e-07 ***
avg_temp -3.0570e-01 1.3549e+00 -0.2256 0.8215440
idAlaska -1.0850e+00 1.7630e+00 -0.6154 0.5384368
idArizona 6.8648e+00 1.8160e+00 3.7802 0.0001668 ***
idArkansas -3.3404e-01 1.7617e+00 -0.1896 0.8496508
idCalifornia -5.6185e+01 7.2052e+00 -7.7978 1.704e-14 ***
idColorado 1.0741e+01 1.8846e+00 5.6996 1.617e-08 ***
idConnecticut 1.3403e+01 1.9701e+00 6.8033 1.842e-11 ***
idDelaware 4.1195e+00 1.7830e+00 2.3104 0.0210842 *
idDistrictofColumbia 2.3088e-01 1.7615e+00 0.1311 0.8957494
idFlorida 1.1375e+01 1.8974e+00 5.9951 2.920e-09 ***
idGeorgia 3.5082e+00 1.8185e+00 1.9292 0.0540104 .
idHawaii -5.5834e-02 1.7615e+00 -0.0317 0.9747208
idIdaho 4.2025e-01 1.7616e+00 0.2386 0.8115013
idIllinois 1.0966e+01 1.8991e+00 5.7742 1.057e-08 ***
idIndiana 2.6099e+00 1.7687e+00 1.4756 0.1403880
idIowa 3.6037e-01 1.7616e+00 0.2046 0.8379506
idKansas -5.0278e-02 1.7615e+00 -0.0285 0.9772354
idKentucky 1.2799e-01 1.7615e+00 0.0727 0.9420939
idLouisiana 7.7636e-02 1.7615e+00 0.0441 0.9648544
idMaine 2.2282e-01 1.7615e+00 0.1265 0.8993673
idMaryland 4.1364e+00 1.7797e+00 2.3242 0.0203315 *
idMassachusetts 1.9592e+01 2.3668e+00 8.2779 4.389e-16 ***
idMichigan 1.6090e+01 2.0117e+00 7.9983 3.780e-15 ***
idMinnesota 8.7953e+00 1.8498e+00 4.7548 2.305e-06 ***
idMississippi -7.8571e-01 1.7624e+00 -0.4458 0.6558328
idMissouri 1.6491e+00 1.7641e+00 0.9348 0.3501551
idMontana -6.2543e-01 1.7620e+00 -0.3550 0.7227019
idNebraska -3.1543e-01 1.7617e+00 -0.1790 0.8579391
idNevada 1.5451e+00 1.7643e+00 0.8758 0.3813753
idNewHampshire 1.9167e+00 1.7671e+00 1.0847 0.2783524
idNewJersey 8.5328e+00 1.8933e+00 4.5069 7.428e-06 ***
idNewMexico 2.5894e+00 1.7693e+00 1.4635 0.1436776
idNewYork 3.4890e+01 2.8280e+00 12.3374 < 2.2e-16 ***
idNorthCarolina 9.9066e+00 1.8696e+00 5.2989 1.459e-07 ***
idNorthDakota -7.5293e-01 1.7623e+00 -0.4272 0.6693092
idOhio 1.2795e+01 2.0175e+00 6.3419 3.554e-10 ***
idOklahoma 1.0447e+00 1.7624e+00 0.5928 0.5534690
idOregon 5.0704e+00 1.7914e+00 2.8305 0.0047494 **
idPennsylvania 1.3255e+01 2.0811e+00 6.3694 2.995e-10 ***
idRhodeIsland 6.8777e-01 1.7621e+00 0.3903 0.6963977
idSouthCarolina 7.6944e+00 1.8253e+00 4.2155 2.738e-05 ***
idSouthDakota 2.0902e-03 1.7615e+00 0.0012 0.9990535
idTennessee 2.1958e+00 1.7663e+00 1.2432 0.2141235
idTexas 1.7013e+01 2.1359e+00 7.9651 4.864e-15 ***
idUtah 1.9044e+00 1.7655e+00 1.0786 0.2810291
idVermont -6.2903e-03 1.7615e+00 -0.0036 0.9971515
idVirginia 6.7309e+00 1.8109e+00 3.7169 0.0002139 ***
idWashington 8.9484e+00 1.8483e+00 4.8415 1.511e-06 ***
idWestVirginia -7.1453e-01 1.7621e+00 -0.4055 0.6852098
idWisconsin 6.8605e+00 1.8106e+00 3.7890 0.0001611 ***
idWyoming -5.5557e-01 1.7619e+00 -0.3153 0.7525838
time2001 -2.7119e+01 8.6322e+00 -3.1416 0.0017341 **
time2002 -2.5349e+01 8.0042e+00 -3.1670 0.0015909 **
time2003 -2.5283e+01 6.9398e+00 -3.6432 0.0002844 ***
time2004 -2.3571e+01 4.9415e+00 -4.7701 2.141e-06 ***
time2005 -2.0402e+01 3.7926e+00 -5.3795 9.480e-08 ***
time2006 -1.5350e+01 3.0567e+00 -5.0216 6.153e-07 ***
time2007 -1.1553e+01 2.6561e+00 -4.3494 1.518e-05 ***
time2008 -8.0488e+00 3.2803e+00 -2.4537 0.0143243 *
time2009 -2.8195e+00 3.8738e+00 -0.7278 0.4669081
time2010 -2.5196e+00 3.4790e+00 -0.7242 0.4691160
time2011 -3.1080e+00 2.5420e+00 -1.2227 0.2217753
time2012 -1.2883e+00 2.3251e+00 -0.5541 0.5796609
time2013 -2.0351e+00 3.1127e+00 -0.6538 0.5134095
time2014 -5.6511e+00 3.7855e+00 -1.4928 0.1358279
time2015 -4.2685e-01 1.8183e+00 -0.2347 0.8144573
time2016 -2.1486e+00 1.6631e+00 -1.2919 0.1967019
iis81 1.0896e+02 8.3814e+00 13.0002 < 2.2e-16 ***
iis82 8.6520e+01 8.2019e+00 10.5488 < 2.2e-16 ***
iis83 9.2518e+01 8.2447e+00 11.2216 < 2.2e-16 ***
iis84 1.2134e+02 8.2326e+00 14.7393 < 2.2e-16 ***
iis85 1.2915e+02 8.0736e+00 15.9966 < 2.2e-16 ***
iis86 2.0389e+02 7.9912e+00 25.5148 < 2.2e-16 ***
iis87 1.7951e+02 8.0989e+00 22.1648 < 2.2e-16 ***
iis88 2.0917e+02 8.2677e+00 25.2993 < 2.2e-16 ***
iis89 2.1307e+02 8.6613e+00 24.5997 < 2.2e-16 ***
iis90 1.6166e+02 9.0146e+00 17.9332 < 2.2e-16 ***
iis91 1.7122e+02 8.6701e+00 19.7477 < 2.2e-16 ***
iis92 1.6316e+02 8.5797e+00 19.0166 < 2.2e-16 ***
iis93 1.6523e+02 8.4689e+00 19.5099 < 2.2e-16 ***
iis94 1.1198e+02 8.4108e+00 13.3139 < 2.2e-16 ***
iis95 1.4418e+02 8.0658e+00 17.8760 < 2.2e-16 ***
iis96 1.4595e+02 8.0584e+00 18.1115 < 2.2e-16 ***
iis97 1.1767e+02 8.0609e+00 14.5982 < 2.2e-16 ***
iis98 1.3536e+02 7.9793e+00 16.9638 < 2.2e-16 ***
iis99 1.1028e+02 7.9809e+00 13.8177 < 2.2e-16 ***
iis211 2.7836e+01 5.7771e+00 4.8183 1.693e-06 ***
iis426 2.8891e+01 5.7907e+00 4.9892 7.249e-07 ***
iis428 4.7837e+01 5.7811e+00 8.2747 4.499e-16 ***
iis453 -2.0389e+01 5.8091e+00 -3.5099 0.0004700 ***
iis613 2.5215e+01 5.7757e+00 4.3657 1.411e-05 ***
iis713 2.5637e+01 5.7787e+00 4.4364 1.026e-05 ***
iis767 3.2004e+01 5.7811e+00 5.5360 4.037e-08 ***
iis770 2.6024e+01 5.7841e+00 4.4992 7.694e-06 ***
iis869 2.8137e+01 5.7744e+00 4.8728 1.296e-06 ***
fesisNewYork.2012 -1.0138e+01 2.6148e+00 -3.8772 0.0001132 ***
fesisNewYork.2020 -3.2322e+01 5.9868e+00 -5.3989 8.537e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 28.34 1 1.018e-07 ***
Ljung-Box ARCH(1) 19.89 1 8.205e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.57026
R-squared 0.97812
Log-lik.(n=1020) -3148.60778 us_q25
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.01; AR: 1
Date: Thu Mar 30 13:49:07 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 860
Sample: 1 to 860
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.586819 0.028646 20.4855 < 2.2e-16 ***
lgdp 512.651473 66.697683 7.6862 4.616e-14 ***
lpop -374.676937 41.096775 -9.1169 < 2.2e-16 ***
lgdp_sq -20.506304 3.980691 -5.1514 3.286e-07 ***
avg_temp -0.288779 1.632059 -0.1769 0.8596009
idArizona 7.150854 2.010086 3.5575 0.0003973 ***
idCalifornia -51.609728 8.098333 -6.3729 3.190e-10 ***
idColorado 11.175507 2.092307 5.3412 1.216e-07 ***
idConnecticut 13.974502 2.194411 6.3682 3.284e-10 ***
idDelaware 4.298399 1.970466 2.1814 0.0294544 *
idDistrictofColumbia 0.237198 1.944623 0.1220 0.9029494
idFlorida 11.831951 2.107629 5.6139 2.761e-08 ***
idGeorgia 3.745095 2.011361 1.8620 0.0629875 .
idHawaii -0.062659 1.944628 -0.0322 0.9743035
idIdaho 0.434451 1.944754 0.2234 0.8232863
idIllinois 11.425339 2.109605 5.4159 8.155e-08 ***
idIndiana 2.713146 1.953249 1.3890 0.1652209
idIowa 0.371601 1.944693 0.1911 0.8485095
idKansas -0.056710 1.944624 -0.0292 0.9767427
idKentucky 0.132500 1.944607 0.0681 0.9456940
idLouisiana 0.079602 1.944593 0.0409 0.9673584
idMaine 0.225873 1.944598 0.1162 0.9075606
idMaryland 4.301025 1.966521 2.1871 0.0290332 *
idMassachusetts 20.619574 2.661123 7.7484 2.934e-14 ***
idMichigan 16.730869 2.242694 7.4602 2.333e-13 ***
idMinnesota 9.161096 2.050601 4.4675 9.098e-06 ***
idMissouri 1.711975 1.947809 0.8789 0.3797167
idNevada 1.609301 1.947941 0.8262 0.4089716
idNewHampshire 2.007639 1.951313 1.0289 0.3038655
idNewJersey 10.201335 2.075553 4.9150 1.085e-06 ***
idNewMexico 2.697132 1.954022 1.3803 0.1678949
idNewYork 31.759614 2.946369 10.7792 < 2.2e-16 ***
idNorthCarolina 10.312457 2.074313 4.9715 8.192e-07 ***
idOhio 13.443643 2.249611 5.9760 3.493e-09 ***
idOklahoma 1.082154 1.945729 0.5562 0.5782568
idOregon 5.281491 1.980528 2.6667 0.0078204 **
idPennsylvania 15.315710 2.303777 6.6481 5.619e-11 ***
idRhodeIsland 0.718377 1.945353 0.3693 0.7120214
idSouthCarolina 8.004273 2.021215 3.9601 8.184e-05 ***
idSouthDakota -0.001373 1.944600 -0.0007 0.9994368
idTennessee 2.280171 1.950378 1.1691 0.2427279
idTexas 19.183765 2.372499 8.0859 2.387e-15 ***
idUtah 1.981867 1.949471 1.0166 0.3096542
idVermont -0.008066 1.944593 -0.0041 0.9966915
idVirginia 7.003185 2.004015 3.4946 0.0005019 ***
idWashington 9.311079 2.048825 4.5446 6.388e-06 ***
idWisconsin 7.131882 2.003650 3.5594 0.0003944 ***
time2001 -32.491734 10.397466 -3.1250 0.0018449 **
time2002 -30.273851 9.640997 -3.1401 0.0017532 **
time2003 -30.080940 8.358906 -3.5987 0.0003403 ***
time2004 -27.787478 5.952085 -4.6685 3.577e-06 ***
time2005 -24.036495 4.568201 -5.2617 1.851e-07 ***
time2006 -18.130395 3.681699 -4.9245 1.035e-06 ***
time2007 -13.487669 3.198969 -4.2163 2.779e-05 ***
time2008 -9.146644 3.951009 -2.3150 0.0208739 *
time2009 -2.599686 4.664776 -0.5573 0.5774832
time2010 -2.027763 4.190141 -0.4839 0.6285682
time2011 -3.532324 3.066164 -1.1520 0.2496643
time2012 -1.635736 2.804426 -0.5833 0.5598825
time2013 -1.569575 3.748637 -0.4187 0.6755480
time2014 -6.493148 4.560561 -1.4238 0.1549203
time2015 -0.599729 2.190506 -0.2738 0.7843227
time2016 -2.718167 2.003778 -1.3565 0.1753305
iis41 105.954709 9.300009 11.3930 < 2.2e-16 ***
iis42 83.617773 9.087714 9.2012 < 2.2e-16 ***
iis43 89.692003 9.141080 9.8120 < 2.2e-16 ***
iis44 118.287224 9.126764 12.9605 < 2.2e-16 ***
iis45 126.493855 8.939159 14.1505 < 2.2e-16 ***
iis46 201.543213 8.842194 22.7934 < 2.2e-16 ***
iis47 178.333199 8.970070 19.8809 < 2.2e-16 ***
iis48 208.234144 9.167989 22.7132 < 2.2e-16 ***
iis49 212.088048 9.626629 22.0314 < 2.2e-16 ***
iis50 161.326200 10.037956 16.0716 < 2.2e-16 ***
iis51 171.448686 9.631592 17.8007 < 2.2e-16 ***
iis52 163.325256 9.529325 17.1392 < 2.2e-16 ***
iis53 164.576698 9.400484 17.5073 < 2.2e-16 ***
iis54 112.666674 9.331818 12.0734 < 2.2e-16 ***
iis55 143.291639 8.929581 16.0468 < 2.2e-16 ***
iis56 145.565827 8.920149 16.3188 < 2.2e-16 ***
iis57 116.837566 8.925398 13.0905 < 2.2e-16 ***
iis58 134.260110 8.827127 15.2099 < 2.2e-16 ***
iis59 109.369456 8.829266 12.3872 < 2.2e-16 ***
iis171 27.460173 6.392377 4.2958 1.963e-05 ***
iis386 28.528806 6.405204 4.4540 9.675e-06 ***
iis388 47.170426 6.394515 7.3767 4.200e-13 ***
iis413 -20.779716 6.424790 -3.2343 0.0012714 **
iis593 24.719393 6.392233 3.8671 0.0001194 ***
iis647 30.230606 6.385592 4.7342 2.617e-06 ***
fesisNewYork.2020 -36.629488 6.407147 -5.7170 1.550e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 17.301 1 3.190e-05 ***
Ljung-Box ARCH(1) 22.877 1 1.727e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.14933
R-squared 0.97641
Log-lik.(n=860) -2737.84279 0.05
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Thu Mar 30 13:46:22 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.9379e-01 2.3589e-02 25.1722 < 2.2e-16 ***
lgdp 3.6680e+02 5.0179e+01 7.3098 5.915e-13 ***
lpop -3.0350e+02 3.0479e+01 -9.9579 < 2.2e-16 ***
lgdp_sq -1.2159e+01 3.0190e+00 -4.0276 6.111e-05 ***
avg_temp -1.3271e+00 1.2141e+00 -1.0931 0.2746581
idAlaska -1.1121e+00 1.5714e+00 -0.7077 0.4792998
idArizona 7.0269e+00 1.6248e+00 4.3249 1.697e-05 ***
idArkansas -3.4395e-01 1.5700e+00 -0.2191 0.8266396
idCalifornia -5.5266e+01 6.5792e+00 -8.4002 < 2.2e-16 ***
idColorado 1.0987e+01 1.6937e+00 6.4872 1.443e-10 ***
idConnecticut 2.0526e+01 2.2961e+00 8.9396 < 2.2e-16 ***
idDelaware 4.2209e+00 1.5915e+00 2.6521 0.0081401 **
idDistrictofColumbia 2.3446e-01 1.5698e+00 0.1494 0.8813073
idFlorida 1.1634e+01 1.7065e+00 6.8173 1.701e-11 ***
idGeorgia 3.6096e+00 1.6245e+00 2.2220 0.0265318 *
idHawaii -5.9702e-02 1.5698e+00 -0.0380 0.9696712
idIdaho 4.2830e-01 1.5699e+00 0.2728 0.7850599
idIllinois 1.1226e+01 1.7082e+00 6.5720 8.407e-11 ***
idIndiana 2.6684e+00 1.5771e+00 1.6920 0.0909909 .
idIowa 3.6673e-01 1.5699e+00 0.2336 0.8153434
idKansas -5.3924e-02 1.5698e+00 -0.0344 0.9726056
idKentucky 1.3054e-01 1.5698e+00 0.0832 0.9337430
idLouisiana 7.8750e-02 1.5698e+00 0.0502 0.9600013
idMaine 2.2455e-01 1.5698e+00 0.1430 0.8862877
idMaryland 4.2297e+00 1.5882e+00 2.6632 0.0078789 **
idMassachusetts 2.1536e+01 2.1931e+00 9.8202 < 2.2e-16 ***
idMichigan 1.8140e+01 2.0892e+00 8.6827 < 2.2e-16 ***
idMinnesota 9.0026e+00 1.6588e+00 5.4273 7.361e-08 ***
idMississippi -8.0664e-01 1.5707e+00 -0.5135 0.6076961
idMissouri 1.6847e+00 1.5725e+00 1.0714 0.2842926
idMontana -6.4105e-01 1.5703e+00 -0.4082 0.6832012
idNebraska -3.2526e-01 1.5700e+00 -0.2072 0.8359225
idNevada 1.5815e+00 1.5726e+00 1.0057 0.3148548
idNewHampshire 1.9682e+00 1.5754e+00 1.2493 0.2118728
idNewJersey 1.0835e+01 1.9131e+00 5.6637 1.994e-08 ***
idNewMexico 2.6504e+00 1.5777e+00 1.6799 0.0933199 .
idNewYork 2.0450e+01 3.5932e+00 5.6914 1.705e-08 ***
idNorthCarolina 1.0137e+01 1.6786e+00 6.0387 2.273e-09 ***
idNorthDakota -7.7310e-01 1.5707e+00 -0.4922 0.6226874
idOhio 1.3380e+01 2.0548e+00 6.5116 1.236e-10 ***
idOklahoma 1.0659e+00 1.5708e+00 0.6786 0.4975522
idOregon 5.1900e+00 1.6000e+00 3.2438 0.0012229 **
idPennsylvania 1.3573e+01 1.8844e+00 7.2027 1.249e-12 ***
idRhodeIsland 7.0512e-01 1.5704e+00 0.4490 0.6535436
idSouthCarolina 6.8203e+00 1.6531e+00 4.1258 4.039e-05 ***
idSouthDakota 1.2724e-04 1.5698e+00 0.0001 0.9999353
idTennessee 2.2436e+00 1.5747e+00 1.4248 0.1545542
idTexas 1.3536e+01 2.3116e+00 5.8556 6.661e-09 ***
idUtah 1.9483e+00 1.5739e+00 1.2379 0.2160825
idVermont -7.2968e-03 1.5698e+00 -0.0046 0.9962923
idVirginia 6.8852e+00 1.6197e+00 4.2510 2.351e-05 ***
idWashington 8.3212e+00 2.1325e+00 3.9022 0.0001025 ***
idWestVirginia -7.3220e-01 1.5705e+00 -0.4662 0.6411630
idWisconsin 7.0143e+00 1.6194e+00 4.3315 1.648e-05 ***
idWyoming -5.6942e-01 1.5702e+00 -0.3626 0.7169589
time2001 -1.4720e+01 7.8804e+00 -1.8679 0.0621038 .
time2002 -1.3562e+01 7.3167e+00 -1.8536 0.0641224 .
time2003 -1.5704e+01 6.3206e+00 -2.4845 0.0131545 *
time2004 -1.7707e+01 4.4972e+00 -3.9372 8.880e-05 ***
time2005 -1.6464e+01 3.4343e+00 -4.7941 1.912e-06 ***
time2006 -1.1615e+01 2.7830e+00 -4.1736 3.290e-05 ***
time2007 -9.1374e+00 2.4221e+00 -3.7726 0.0001722 ***
time2008 -6.6201e+00 2.9472e+00 -2.2462 0.0249312 *
time2009 8.2012e-02 3.5016e+00 0.0234 0.9813193
time2010 -5.2342e-01 3.1242e+00 -0.1675 0.8669848
time2011 -1.0183e+00 2.3033e+00 -0.4421 0.6585025
time2012 2.0564e+00 2.1253e+00 0.9676 0.3335174
time2013 -2.0316e+00 2.7782e+00 -0.7313 0.4647992
time2014 -5.1548e+00 3.3751e+00 -1.5273 0.1270377
time2015 1.8808e+00 1.6593e+00 1.1334 0.2573311
time2016 5.2134e-01 1.5181e+00 0.3434 0.7313660
iis81 1.0890e+02 7.5288e+00 14.4641 < 2.2e-16 ***
iis82 8.6651e+01 7.3441e+00 11.7988 < 2.2e-16 ***
iis83 9.2220e+01 7.3862e+00 12.4854 < 2.2e-16 ***
iis84 1.2156e+02 7.3760e+00 16.4804 < 2.2e-16 ***
iis85 1.2914e+02 7.2127e+00 17.9048 < 2.2e-16 ***
iis86 2.0409e+02 7.1284e+00 28.6303 < 2.2e-16 ***
iis87 1.8141e+02 7.2348e+00 25.0747 < 2.2e-16 ***
iis88 2.1129e+02 7.4066e+00 28.5276 < 2.2e-16 ***
iis89 2.1596e+02 7.7984e+00 27.6932 < 2.2e-16 ***
iis90 1.6427e+02 8.1541e+00 20.1455 < 2.2e-16 ***
iis91 1.7365e+02 7.8091e+00 22.2363 < 2.2e-16 ***
iis92 1.6481e+02 7.7214e+00 21.3451 < 2.2e-16 ***
iis93 1.6707e+02 7.6083e+00 21.9591 < 2.2e-16 ***
iis94 1.1306e+02 7.5512e+00 14.9718 < 2.2e-16 ***
iis95 1.4508e+02 7.2012e+00 20.1461 < 2.2e-16 ***
iis96 1.4627e+02 7.1926e+00 20.3367 < 2.2e-16 ***
iis97 1.1953e+02 7.1962e+00 16.6105 < 2.2e-16 ***
iis98 1.3544e+02 7.1132e+00 19.0399 < 2.2e-16 ***
iis99 1.1036e+02 7.1149e+00 15.5115 < 2.2e-16 ***
iis211 2.8280e+01 5.1501e+00 5.4911 5.200e-08 ***
iis426 2.7176e+01 5.1715e+00 5.2550 1.850e-07 ***
iis428 4.7077e+01 5.1609e+00 9.1218 < 2.2e-16 ***
iis449 2.2147e+01 5.2407e+00 4.2260 2.622e-05 ***
iis453 -1.3941e+01 5.4071e+00 -2.5783 0.0100862 *
iis613 2.8879e+01 5.3643e+00 5.3835 9.332e-08 ***
iis641 2.0478e+01 5.8218e+00 3.5175 0.0004575 ***
iis642 1.8375e+01 5.7919e+00 3.1725 0.0015626 **
iis644 2.4949e+01 5.7981e+00 4.3030 1.870e-05 ***
iis653 1.8765e+01 6.1496e+00 3.0514 0.0023448 **
iis655 1.6508e+01 6.1699e+00 2.6755 0.0075970 **
iis657 3.3404e+01 5.6160e+00 5.9479 3.887e-09 ***
iis707 2.0685e+01 5.2391e+00 3.9482 8.488e-05 ***
iis713 3.2191e+01 5.4263e+00 5.9324 4.259e-09 ***
iis717 2.1925e+01 5.4242e+00 4.0421 5.752e-05 ***
iis767 3.2742e+01 5.1536e+00 6.3531 3.349e-10 ***
iis770 2.6533e+01 5.1563e+00 5.1457 3.274e-07 ***
iis817 2.0996e+01 5.1481e+00 4.0783 4.938e-05 ***
iis869 1.3154e+01 6.1446e+00 2.1407 0.0325664 *
iis951 2.2253e+01 5.2637e+00 4.2277 2.603e-05 ***
fesisConnecticut.2009 -1.1333e+01 2.3000e+00 -4.9273 9.928e-07 ***
fesisMassachusetts.2020 -2.5343e+01 5.1642e+00 -4.9075 1.095e-06 ***
fesisMichigan.2013 -7.8185e+00 2.4307e+00 -3.2166 0.0013437 **
fesisNewJersey.2013 -5.6367e+00 2.3875e+00 -2.3609 0.0184458 *
fesisNewYork.2007 2.1208e+01 3.6665e+00 5.7844 1.005e-08 ***
fesisNewYork.2012 -2.1769e+01 4.2050e+00 -5.1770 2.784e-07 ***
fesisNewYork.2016 -1.0890e+01 4.3892e+00 -2.4811 0.0132786 *
fesisOhio.2013 -6.7539e+00 2.5509e+00 -2.6476 0.0082481 **
fesisTexas.2008 1.9906e+01 4.0650e+00 4.8968 1.155e-06 ***
fesisTexas.2011 -1.6559e+01 3.8861e+00 -4.2610 2.250e-05 ***
fesisWashington.2009 2.0353e+01 5.3215e+00 3.8246 0.0001400 ***
fesisWashington.2010 -2.2712e+01 5.2648e+00 -4.3139 1.782e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 25.238 1 5.066e-07 ***
Ljung-Box ARCH(1) 11.475 1 0.0007056 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 4.96412
R-squared 0.98302
Log-lik.(n=1020) -3020.59860 us_q25
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q25 (2000:2020); p.value: 0.05; AR: 1
Date: Thu Mar 30 13:49:03 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 860
Sample: 1 to 860
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.7187e-01 2.7433e-02 20.8458 < 2.2e-16 ***
lgdp 5.1632e+02 6.1685e+01 8.3702 2.752e-16 ***
lpop -3.9780e+02 3.7637e+01 -10.5694 < 2.2e-16 ***
lgdp_sq -1.9270e+01 3.7051e+00 -5.2008 2.554e-07 ***
avg_temp -7.8177e-01 1.5091e+00 -0.5180 0.6045908
idArizona 7.4164e+00 1.8591e+00 3.9893 7.268e-05 ***
idCalifornia -4.8950e+01 7.5879e+00 -6.4510 1.977e-10 ***
idColorado 1.1578e+01 1.9405e+00 5.9667 3.709e-09 ***
idConnecticut 1.4505e+01 2.0413e+00 7.1058 2.758e-12 ***
idDelaware 4.4645e+00 1.8198e+00 2.4533 0.0143774 *
idDistrictofColumbia 2.4307e-01 1.7941e+00 0.1355 0.8922666
idFlorida 1.2256e+01 1.9556e+00 6.2670 6.162e-10 ***
idGeorgia 3.9332e+00 1.8585e+00 2.1164 0.0346387 *
idHawaii -6.8996e-02 1.7941e+00 -0.0385 0.9693331
idIdaho 4.4764e-01 1.7942e+00 0.2495 0.8030493
idIllinois 1.1852e+01 1.9576e+00 6.0544 2.214e-09 ***
idIndiana 2.8090e+00 1.8027e+00 1.5583 0.1195878
idIowa 3.8203e-01 1.7942e+00 0.2129 0.8314384
idKansas -6.2680e-02 1.7941e+00 -0.0349 0.9721389
idKentucky 1.3669e-01 1.7941e+00 0.0762 0.9392877
idLouisiana 8.1426e-02 1.7941e+00 0.0454 0.9638109
idMaine 2.2871e-01 1.7941e+00 0.1275 0.8985934
idMaryland 4.4538e+00 1.8158e+00 2.4528 0.0143997 *
idMassachusetts 2.1520e+01 2.4963e+00 8.6209 < 2.2e-16 ***
idMichigan 1.6013e+01 2.1116e+00 7.5835 9.827e-14 ***
idMinnesota 9.5007e+00 1.8992e+00 5.0024 7.038e-07 ***
idMissouri 1.7704e+00 1.7973e+00 0.9850 0.3249131
idNevada 1.6689e+00 1.7974e+00 0.9285 0.3534356
idNewHampshire 2.0921e+00 1.8007e+00 1.1618 0.2456827
idNewJersey 9.3298e+00 1.9473e+00 4.7912 1.994e-06 ***
idNewMexico 2.7972e+00 1.8034e+00 1.5510 0.1213075
idNewYork 3.4695e+01 2.9507e+00 11.7579 < 2.2e-16 ***
idNorthCarolina 1.0689e+01 1.9227e+00 5.5595 3.747e-08 ***
idOhio 1.2856e+01 2.1163e+00 6.0744 1.966e-09 ***
idOklahoma 1.1169e+00 1.7952e+00 0.6222 0.5340243
idOregon 5.4775e+00 1.8298e+00 2.9936 0.0028468 **
idPennsylvania 1.7770e+01 2.4424e+00 7.2755 8.610e-13 ***
idRhodeIsland 7.4680e-01 1.7948e+00 0.4161 0.6774645
idSouthCarolina 8.2919e+00 1.8701e+00 4.4339 1.062e-05 ***
idSouthDakota -4.5882e-03 1.7941e+00 -0.0026 0.9979601
idTennessee 2.3585e+00 1.7998e+00 1.3104 0.1904467
idTexas 1.4160e+01 2.6566e+00 5.3304 1.293e-07 ***
idUtah 2.0538e+00 1.7989e+00 1.1417 0.2539387
idVermont -9.7144e-03 1.7941e+00 -0.0054 0.9956811
idVirginia 7.2560e+00 1.8531e+00 3.9157 9.826e-05 ***
idWashington 9.3354e+00 2.2815e+00 4.0918 4.738e-05 ***
idWisconsin 7.3839e+00 1.8527e+00 3.9855 7.384e-05 ***
time2001 -2.7915e+01 9.6871e+00 -2.8816 0.0040678 **
time2002 -2.6076e+01 8.9865e+00 -2.9017 0.0038184 **
time2003 -2.7145e+01 7.7786e+00 -3.4896 0.0005116 ***
time2004 -2.6946e+01 5.5346e+00 -4.8686 1.368e-06 ***
time2005 -2.4084e+01 4.2352e+00 -5.6868 1.847e-08 ***
time2006 -1.7976e+01 3.4204e+00 -5.2557 1.918e-07 ***
time2007 -1.3763e+01 2.9764e+00 -4.6239 4.424e-06 ***
time2008 -9.6341e+00 3.6557e+00 -2.6353 0.0085771 **
time2009 -2.2553e+00 4.3296e+00 -0.5209 0.6025877
time2010 -2.3048e+00 3.8800e+00 -0.5940 0.5526679
time2011 -3.1651e+00 2.8490e+00 -1.1110 0.2669391
time2012 -4.6830e-01 2.6118e+00 -0.1793 0.8577501
time2013 -2.5456e+00 3.4631e+00 -0.7351 0.4625297
time2014 -6.5739e+00 4.2081e+00 -1.5622 0.1186562
time2015 3.0172e-01 2.0375e+00 0.1481 0.8823163
time2016 -1.3674e+00 1.8671e+00 -0.7324 0.4641793
iis41 1.0419e+02 8.6214e+00 12.0850 < 2.2e-16 ***
iis42 8.2238e+01 8.4095e+00 9.7792 < 2.2e-16 ***
iis43 8.8205e+01 8.4628e+00 10.4227 < 2.2e-16 ***
iis44 1.1712e+02 8.4522e+00 13.8563 < 2.2e-16 ***
iis45 1.2548e+02 8.2606e+00 15.1901 < 2.2e-16 ***
iis46 2.0090e+02 8.1626e+00 24.6128 < 2.2e-16 ***
iis47 1.7951e+02 8.2846e+00 21.6678 < 2.2e-16 ***
iis48 2.0995e+02 8.4826e+00 24.7512 < 2.2e-16 ***
iis49 2.1506e+02 8.9362e+00 24.0659 < 2.2e-16 ***
iis50 1.6476e+02 9.3435e+00 17.6333 < 2.2e-16 ***
iis51 1.7386e+02 8.9408e+00 19.4453 < 2.2e-16 ***
iis52 1.6510e+02 8.8404e+00 18.6760 < 2.2e-16 ***
iis53 1.6685e+02 8.7139e+00 19.1477 < 2.2e-16 ***
iis54 1.1396e+02 8.6439e+00 13.1840 < 2.2e-16 ***
iis55 1.4376e+02 8.2458e+00 17.4337 < 2.2e-16 ***
iis56 1.4545e+02 8.2349e+00 17.6622 < 2.2e-16 ***
iis57 1.1749e+02 8.2401e+00 14.2577 < 2.2e-16 ***
iis58 1.3374e+02 8.1435e+00 16.4226 < 2.2e-16 ***
iis59 1.0886e+02 8.1456e+00 13.3644 < 2.2e-16 ***
iis171 2.7747e+01 5.8997e+00 4.7031 3.043e-06 ***
iis386 2.8202e+01 5.9110e+00 4.7710 2.198e-06 ***
iis388 4.7604e+01 5.9002e+00 8.0682 2.780e-15 ***
iis409 2.3642e+01 5.9005e+00 4.0068 6.761e-05 ***
iis413 -1.8538e+01 5.9411e+00 -3.1203 0.0018748 **
iis513 2.5003e+01 5.8954e+00 4.2412 2.498e-05 ***
iis544 1.2049e+01 5.9567e+00 2.0227 0.0434512 *
iis557 3.1515e+01 6.4283e+00 4.9025 1.158e-06 ***
iis587 2.1326e+01 5.9015e+00 3.6137 0.0003218 ***
iis593 2.6350e+01 5.9076e+00 4.4603 9.421e-06 ***
iis647 2.8725e+01 5.9995e+00 4.7879 2.026e-06 ***
iis650 2.2657e+01 5.9993e+00 3.7766 0.0001714 ***
fesisNewYork.2016 -2.3261e+01 3.2716e+00 -7.1101 2.678e-12 ***
fesisPennsylvania.2014 -8.2538e+00 2.7806e+00 -2.9684 0.0030880 **
fesisTexas.2008 2.3867e+01 4.0086e+00 5.9538 4.001e-09 ***
fesisTexas.2011 -1.9562e+01 3.7824e+00 -5.1717 2.969e-07 ***
fesisWashington.2011 1.8971e+01 6.0252e+00 3.1486 0.0017046 **
fesisWashington.2012 -2.0385e+01 6.0578e+00 -3.3651 0.0008036 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 9.9142 1 0.00164 **
Ljung-Box ARCH(1) 5.4737 1 0.01930 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.67329
R-squared 0.98021
Log-lik.(n=860) -2663.04833